Content-Type: multipart/mixed; boundary="-------------0404090848703" This is a multi-part message in MIME format. ---------------0404090848703 Content-Type: text/plain; name="04-106.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="04-106.keywords" logistic map, symbolic dynamics, Cantor set, anti-integrable limit ---------------0404090848703 Content-Type: application/postscript; name="AntiLog.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="AntiLog.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.90a Copyright 2002 Radical Eye Software %%Title: D:/smile/AntiLog/AntiLog.dvi %%CreationDate: Fri Apr 09 21:35:22 2004 %%Pages: 8 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMBX12 CMR12 CMBX10 CMR10 CMMI10 CMSY10 CMMI8 CMR8 %%+ CMSY8 CMEX10 CMMI6 CMTI10 MSBM10 CMBX8 CMSY6 CMR6 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: C:\CTeX\texmf\MiKTeX\bin\dvips.exe %+ D:/smile/AntiLog/AntiLog.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2004.04.09:2135 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro %! TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]/Metrics exch def dict begin Encoding{exch dup type/integertype ne{pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def} ifelse}forall Metrics/Metrics currentdict end def[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{ dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[exch{dup CharStrings exch known not{pop/.notdef/Encoding true def} if}forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def} def end %%EndProcSet %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 121 /dagger put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX8 %!PS-AdobeFont-1.1: CMBX8 1.0 %%CreationDate: 1991 Aug 20 16:36:07 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 120 /x put readonly def /FontBBox{-59 -250 1235 750}readonly def /UniqueID 5000766 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 22 /mu put dup 106 /j put dup 120 /x put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 8 /braceleftbig put dup 9 /bracerightbig put dup 16 /parenleftBig put dup 17 /parenrightBig put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 48 /parenlefttp put dup 49 /parenrighttp put dup 63 /arrowvertex put dup 64 /parenleftbt put dup 65 /parenrightbt put dup 66 /parenleftex put dup 67 /parenrightex put dup 88 /summationdisplay put dup 89 /productdisplay put dup 91 /uniondisplay put dup 121 /arrowbt put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 3 /asteriskmath put dup 21 /greaterequal put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 121 /dagger put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 6 /plusminus put dup 14 /openbullet put dup 20 /lessequal put dup 21 /greaterequal put dup 32 /arrowleft put dup 33 /arrowright put dup 49 /infinity put dup 50 /element put dup 55 /mapsto put dup 56 /universal put dup 92 /intersection put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 112 /radical put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 6 /Sigma put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 61 /equal put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 15 /epsilon1 put dup 22 /mu put dup 23 /nu put dup 27 /sigma put dup 61 /slash put dup 62 /greater put dup 75 /K put dup 78 /N put dup 102 /f put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 110 /n put dup 117 /u put dup 120 /x put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 15 /epsilon1 put dup 17 /eta put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 27 /sigma put dup 45 /arrowhookright put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 67 /C put dup 68 /D put dup 70 /F put dup 75 /K put dup 78 /N put dup 97 /a put dup 100 /d put dup 102 /f put dup 104 /h put dup 105 /i put dup 108 /l put dup 110 /n put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E394A533A081C36D456A09920001A3D2199583EB9B84B4DEE08E3D12939E321 990CD249827D9648574955F61BAAA11263A91B6C3D47A5190165B0C25ABF6D3E 6EC187E4B05182126BB0D0323D943170B795255260F9FD25F2248D04F45DFBFB DEF7FF8B19BFEF637B210018AE02572B389B3F76282BEB29CC301905D388C721 59616893E774413F48DE0B408BC66DCE3FE17CB9F84D205839D58014D6A88823 D9320AE93AF96D97A02C4D5A2BB2B8C7925C4578003959C46E3CE1A2F0EAC4BF 8B9B325E46435BDE60BC54D72BC8ACB5C0A34413AC87045DC7B84646A324B808 6FD8E34217213E131C3B1510415CE45420688ED9C1D27890EC68BD7C1235FAF9 1DAB3A369DD2FC3BE5CF9655C7B7EDA7361D7E05E5831B6B8E2EEC542A7B38EE 03BE4BAC6079D038ACB3C7C916279764547C2D51976BABA94BA9866D79F13909 95AA39B0F03103A07CBDF441B8C5669F729020AF284B7FF52A29C6255FCAACF1 74109050FBA2602E72593FBCBFC26E726EE4AEF97B7632BC4F5F353B5C67FED2 3EA752A4A57B8F7FEFF1D7341D895F0A3A0BE1D8E3391970457A967EFF84F6D8 47750B1145B8CC5BD96EE7AA99DDC9E06939E383BDA41175233D58AD263EBF19 AFC0E2F840512D321166547B306C592B8A01E1FA2564B9A26DAC14256414E4C8 42616728D918C74D13C349F4186EC7B9708B86467425A6FDB3A396562F7EE4D8 40B43621744CF8A23A6E532649B66C2A0002DD04F8F39618E4F572819DD34837 B5A08E643FDCA1505AF6A1FA3DDFD1FA758013CAED8ACDDBBB334D664DFF5B53 9560176676B2587497159854A01A0FC484D38B0C9560CD8D920F109FA05BEF2F EE1943C8F67755C58F83F149593EE2285A20B5E45F99AB61DFB61E64E7256284 867CA2BC718760698B9650274B4B7EA12F8C760F94B590703CD72FF80BE37F58 40D9627F2500AE08821B50AF80666798868BB892935DD56BBA415299D41FDE40 7FC30F0E27BBE6F668CA6D9C017A8DD2438108C6FC95E5B6A955299CCF0CD6EA A68AF31C6584EBE2933C145D2A12DB261C838BDCB264C48FD97BDF82BCDBEE80 271EF3548F67DA32A7FCA92D59D26CB1A2CD0389E8D434FB58A4D2BFF3658DDF 4ACB46CC19D283889F064BBEE31221FB77EE73B702916331A51329C9078174BB 2FBC4CD838E6B53DBDEDDF255D9FEC26D9DBBE1A13A092A412A3F2221E7C676B CCEA22D98E5B0EF9E21D7E1EACC5DF7A38E78166724354A3DEC92B9DC57967E9 A54491BD1EC1F64C55590F0B44ADF92AB4C1C67B0E788C7F01B0A1EFBAE6E058 DE02280FFAA45D635F7EEA833FE07BAC5DFEEF3CCCA8D27BD31BB0805F843288 11C774001EE2168CEE4B63A8FD294C51EA9ABD9A911CEB1955B16D5698A302AD 2CFA3F6A1738887FD464C86459836F8A356C4496DDADEE73758D98C0DDE138D5 4AFAFBF6E4C6B35C0893A43A221FF7D1506472213C19F0D0B43B44A0661172F4 355B0ACA0C9F38D84CDD3A4EC508BB2BFD4D65897824DDEA026E6118EC26F168 9BA70C5A3C8AE1499E8E7287C6216EA93B6735E6EF6A385AE8A40C5AB3FEA208 0ADA351A79FF313C4BB904685432916ACF66C4B5BC7CF02DCF1A74B46816E97D 7223E2CC8BBEF6A4CA60C7D32670905E7CB7F1870568CAEDCC96A366562F0C96 8BA7B258D8A1870E166DB373FA55BA23B212EF1D8A83E17E0A0FCCD97C11F23F 5C1B545C5E9F4D6721B49A23AC36E52D279D040F169D0E62F688343132CB31C1 A7109A34852FD0EBF2E8E88CFF7459C8536B7FC641532BEF54E9A01F607CDBE3 2FAD5A05AB80166247E74784512CCB684EDB0921774E59009957EA134D5E4118 FE10F906C5DB11A6619EB45B11ECF48A0DCB2EC991ADF93449A416A611FCD93B F6984A0E2A681641D7AD006D226356928D26C8133EFC4D8949D36DD2850478EC 0DED8AEE04DEDFC0E90A846A963D19D15DB1D8731018620D7AD2507F7C372882 50131877D4C1F8DE21A40AE39C5F603B96FD14712DCDF41F869B1A07C765573F E699D02EE66334B0FEE977BBDCDCD70E80A58B076D5DF2E301FDE0B12A213869 246394CD8C419153AEF5A87FE64942BC118BD593281FA9F7289923F34BAA775D AD886317256E3110D0A55FEA4D3F2E079AC01C516C521DDC9FEFE354C7C97B2E C2827E5063CD23B1EFFFC03254B59279A5C07C4C3BA01A0CAC148BB62B93BE4B 066628C9A8CB837FE3E5718CC12F8901BACAE0CD1EA2B1B982CCFFE374564C22 3E40C1F6F9271A1E97E8CA94BC796C81E66A5A690808D7757301A419E3B560C1 622E2B225BB1DA800F6BAF37142E3785FA296A6D9F95DBCDDEDC925BC7A03A67 83A8C26A5F45D64ED90F46CE816EE84982EAA3E5405F679038FBC50F72B14CF5 EC394BB00A6BC22BA1600998DB2B6B8D780F836D47E2FF7F8E36D0F1A909821D BCF425EFDC831EF54FC05C92AF446A884CCD602702C8BE78CF72ACFF76CB725D 0602644027F0F6DF20A88CE50AE535010DFDF95D52FEEF7DDFBE7DE5CEB07C71 DE0413EA2BD38B819D52BBD0E4CA635583BD02EF975B6FE2065199858D0D0090 D2621E7D3E346AB9CB80C11ADC7FAD6BD88C3A2F8CEA4175D4E48B4A21A437FE 92F2A0D934D6AC1064FDD853D5F5212913754148BAEBE0AEDB6FE76C8C920B87 4C3E79BBD1B6AA8E6B2B1315430EFFC3AF65FD1928BC41A04EF25F2E6294A503 B2DDF9E5E5B97227BF26F0914631EA261B04C218C2C1EB42B4EC8FB8C26AE077 08FFCC118E0C83A066913ED73FA8EF8A9C30D4B59CC880CE107B49630D40AC06 B43243EF58846A1BAF2C5DD70546A1CDCBEF4A2BFA77D40269396E93783F91E4 0A3976B038FAF65DAD808B5ABEC50C30786DE1172B808FC78D88B7A66C6922C4 367DE30C87CFD18DF47848B3F3BA6B0B56623556859163C7D4856C05DBE92833 F2E84FEBA987CE5605FF93DDCC7DEA0DA932D5175EC0B10A0F86589785967601 D44ABB96D8973446F576969A9716526631431BA6F044010444D84F1AB1B48D74 723F531EF4460726FABEC8752D608D13E3B3D64C6999517696407EDB1CB8EE7F 88EF7125071F942403FF008B4270E3077BCBE078B5C1FDB6D59E67EDF84C5D51 045FD66EBCF83933F23EBA6EE9224244438F14D9C66F500AF36AA6DE483A00F9 6CDFF768DD870542DA8F27E6FC8B77361E9F0C3E8FFEBF0344BCB2AA55389EB6 213C913BCEA2D06C8D3D0C2708D66E83864CC37E8A9F236A0827214AB2C32FCA 3F08284D0DFC61B894E588D9EFFEBAD892A702C0B079DD429974A00F69FC237E EDAAEA5A71D281394ECC95C9215A9B2C3B2CF6116D642E48A633AFBD141C3C11 E3F6A5EAE67332836A18B2045573F2B05239941651EC21FBE3C1A3A763FD89D5 ABCDBB09489A7892E12F25A995E30025BD09DCCED0E0E172DDC4296C91B9ED82 B88A903878FF6E3E2669096C929D692B3E9AE6F9B488DC1E059046DBB1652A46 31A95C6A851DAF2B016AEF577078F44D0D6BBD3D211B255AC360DA60832AFCC8 6AFB6342FE565808AD94BE9D70B83882CD08AA339744578C16D9C0EFB7E39F1C B40050AEA33CE4AC328C25D429689E69811208EB7D0804FE5ED618B5FFC008C1 49E6F66E174CDEB291736696A4C14468DB651A33FD653FDDA4F130B924F0E312 B43A8F4AFEDBB73CB2243A26BE58470CAE73527BCE7BF9117C4387AAECAB352B 50174031F4E94E96708C4BCA8B0CDA8E697AC60B9FFC08139A529B597D4551CD CE905C936441BE4ECEA31600D432344B7AB04ABEA588B522D7C954929E4ED023 D0FD7E6CEE4D2B95299B22FAD0BE40EB9D4EEF8A362FC50E6F34E8AB403ED3FF 31568B8A82705002BB72A93F8B7AC0C9866C1BEF7640040E29233A15FCD6F9A9 107D4551186DBC84CAC2D0F8F21A8515F7C498DA7A91BBB2C1401259133FB03C 69D98B26CB46CBFECDE04D3738EBC2C6A02F76580DBF2BF576391694831A30BC 33F51E8691E18FE3311C92D8BA805D0C2A1CFB6305D6DCB403D04A92A7282400 34065245BDAFD1B5DE20D257FF58FCE760205E403F3D1C3371623551AB863397 B82BA571330AB2D0E2CB7C534E5C450AFEEF2BC6827C3ED6F37399AB2136D2DC 91953893710A404D1FEDED9A2A6AA2D9D19A1733A5AD93CD9859EB1E9A324546 88F5AD7AB41D88C1BE42BFE9402097C90142939BF5E97222046FBD42B13E222D 4BA6B47550F5B4A893FECF822E74A0B97AE6F68B9DF9D6DC06CB7D7F233D0BB3 56924F757FBDCF71FDF42D1FC76EDDC14DA186034DCB57773ED4C577AD4E0A51 7C8CAB79825E62912585E2706110F37486B352DBE7E031032997D1CDAEDE23E1 A1C103133A90FF20192117EA4ADE485AF5998F7A2B9803C75542E40F7376B0DE 3608B3481BA136E53C30C7AB91FF6801E9CA880AF693E3C718FD13AE49CE2E7F 5E2476BE3B5B776E3F39AAD690557F23699A2307ED31CDE083425E0F38208C70 7863E2983F9FA7B00A877C6EBECBBC57338D62C5AB42428460AC0854D01291AC 0D3FB2797A1B30BD906FB969091B9D74FA2902FB1CF79F3A44CCC5A23C28BD22 686A41A5CC0810AA03061776FED171F068D8ADEF393060BCA726B02636A2E4CA 1AD5895911478A6688DF4677A3EA4F5F0EA6099030E04727F4258F2C18D26268 7A6BD2179BEC2921B9FBC2B9BA0B94B258E2DE5E079E2F5DEA3B074B9177EDBE 18B2A61888612261946F32FEC41FCC8513E9283EDB570EADC4A1BCD0C1AB7C69 7645A935964DFCC45A6EF23C2492748630A00E666D2104E43245FA62E5EF9F77 C35488F9D266422F073CBDA73FF28F99F2BC36672017B5DF9284CE8F863A6096 81E487B3890D9702D9D219224A9B397E05E6282B01552EAB17238D6A9EA6DD7D 1A7C3884368DCBBBFF275DB093405B84C2F1ABA261697703681F2B1067E0FF08 1F5A8442FAAAACAF8F39920689CF2D0D2430C899668980452BD3D6170258DBA0 CB39AA0A76F7D218EF0B54EA4CD3BE839BBAE5580E5533E3DFA7EED2E6DD9A8D C6CCF748E61C907483C1099CED54246BE4D7AA6F289A417D4CC5FF0F5E84738E 5363A66121699E542966BDBAA89CF1BA6420874598CC97F426D28A049FA247D9 EF2635AFE2CD3368AB739213207C049723B81A930353C81192114B44E6FF6D81 8106C42E6CD7536BE864537D20C819D2598143539F678B0835BC5FFE94481F14 B846B06F364FF080FD56E5191BC87B9FF4BD7BAF14E87B99AA07F29EADD4D0DF D00DE8449E5CAA41D9862DCB92AD5201AA34BEBE3A160F846CF46FD6067D24C5 A0B9627530AF24D9D69160ED628D97CC065164B0B8A09C9857753D5C6C8DC268 EB0CEEB17BC32AC256C95B6CCDA49E8AF79A3E833FF80FFF8E7BF72CAE167FCE AA68A77B5330335C23514236702672AD714DAC0D26029A1F20B20B60D0BE8EEA 63283263AF9F6B6DA54A8A8560342F6A24AA7B2EF15791FB4E798C6AA8271675 8A089A149E859883E151D704D7E6E70309EBD60B3F43756430636DB85EB41F63 5F619C3086219AB8F1198BF981FA39D813633354BD236E09AA30D21B364E08A2 FD0CB29BAB6408851F72FE16F468955ACFCE13A2A909633BEE54ED74F7ED2063 0E80D8B723E2245A78ED665A0CD243C775B50E1A4A00D593710728E51E2C3E4C 0665C3E1C92001860779B014259B2811D288A79D041023544E31C96BD828B9A2 A4385FE753A511DF203B1EFAE60524D21ADBDBC691E412FC88339710E5AE3AA0 B215B4A8FE59A90537334E787F394508B9E9ABCA28B23F6B3EFC6FE4E8AA7F65 FC800332CDC7509B7962D35C7A7B8B4574C23074464DF97867BA7848075E8E9C B1D46D5CC858F4ED04B61A3CBA9793EC49DE29B3C65CB420C6C4FB5D7057781A 80CC936EE13DD8950B75CCEC2FA1C3081B8DE7CF1C9A039B4641E9D85F0BD064 5086318C4CB3E38EAB0D6E68FCAE35D3D7F19AA143357DB9B02BBE2A511F6B9C F52C77484103D0E9C65CD4E993A96113D8C4922E6DB6D71070081A1B2DBE2CF8 D2BFC74B48FFC2ED68BA4F84E6029A4A03703FC9896CDF759966FAD428F5D902 740DB9D9BC9CE5C0C703A5B06CCF95124BB5D5868F4618E1F75339C3292F127C 006B238F09766E683E8FAABDCC8E45CF031EB360F95F2174CC33FF2E028A1E1B 02FDB04E150EDC159925D185FD43F618A78F2FC7AF6F681414455C19384FA367 865DFC177399C078BAB349D610224E0FD23B22CACEDBD4D6967D380F4D7717D5 0E13FA8733993B2E7C201B4BD82F7590B4D9DD75FE975A39B7D0A361DC7452B7 68B220B4FD40EFB74EAAA7EBFE55FF8E5818652E8250087A09C62A4472BB704F 8F784503F3E2C31A3D421553D36623D48A5949EFD0F223DA8CECB77BAE0D49DC E7BD80B18F2E33C85E30E7F385E0287D7F19BEF9FCD25A8032C82EBD12112BDA 3BECFDFD9E656E09C9C8E3B94310F656BDA95407B31A6F8BC947C3771C980D59 B0E2893BC6A65BF8E53147552D92182AF769D72BBCA316114C67B0D818F588CF D9217C1545E4526D99EC11A561AA87755DADBD83018865AD362DEC60DE725538 BDD24877C70B3031F949A7C9A5933C1F3FC630F381858BC55FBBD50BFD0CFC68 AED96BBCD8003E55D9C7DE314A6FFECF3DADF8BE290C9C0BAC04D9F8605C0026 73572160C2F38B8A58B1E02005EA13BBDF83433E7DA50E6B6677E64A6E0495CE BEE30DF38FB253A01999D598F47FF11FFD577CCFA45C615E1576381CE85DDA01 F9BD9CCC1DDD0AFA9BAE3FED9CCF257E0790E34B30C72A960D187197691FBE1D 0A4C3237DDD6819C55527A6130DF15E0623AD8698BAD0DBE9B5A03B2F68B01D6 E36D725F41F90C9EB5F6C42781E1435A8F4489116E122D0B92F7AD9B940D6822 6684F4FA4082DDF5240180F06C25EAD98609CF7EA050A2213ACEFD7829833524 DCB69F9FAE64F1EA441103C17A7C8C8331939A5224AF78C50FF31DEA52F10232 5BF9C2A9313FDC53975350DFAC6669E02C46B7290C350E26AFA72B8A44E5603B 46284135CBD3E44C89074E643B413EF2D053CDF8D9859A1F4C98021CB7A4FD65 8322CCFC692B38635111533BFBCEC1BF0311ED2D858272FCF0A0F80ED4664931 85FDE017597D4DCC7A188DF7818BBFDA2D3D092717266990CC3A31FAC07ECC0B 54F4B9F1BA262B0BE68688E45DCAC4FA4E51295D40E404E20CD98A90478FBB3C 335E8CA9510334D44DD2DC41AF3419519D7DD3B84E2C8B639D299758741026D0 DB7A287ED7E61DB70E2FE1DF86AB99ECEFC2A6A7F6ACF76CBB2567E0F1DBA0F7 6072B112DD7C85A30370A065C3A9701F915D4B41B0E8DC833FF01FFEB2EFECCD 28ED8B5CC000453F25520ADB52C824BFD903A5356760B0BE97124B3FDF5DF592 1C717A961DECBE2ABA1A2130F990EB051675E7B91490753AE192988EE6385DD7 CFBA331D2F4A4C73BFCDB6C842F904FD59932993EC3A5CAE9F4145ABED2EE92F B1269D555D55D01CE2622E9258990259B67606E5CE2F909CECB8FDA104119ED9 F246F04F725482AC31B6BB38C6F14E371C64A95E152135B46609BF6E1CE7F614 6077706F9FD13F4EAD865B4E6121B59DEDA19D569B41F69558E4BA16C4BBDCD6 298BE9B934DB9B18B64C9B413F8B3483667B52500C3AF599A86283CB5367D9DC 8DA6681BBA0D922110A3B9180DC48C030F97BB7383536941356C9F73E5E2C936 E08985537FB5C03F694C28D1DCEAA9AD5F2E140F18113048D97038149221BB77 B95048F602866633302F58B951DADD35E28F5C8151FF97D5B2E2EF92E12EAC74 85E149DF492AA37AE3A5CEBCCF8EE7D5CE61DB21FB7E79EEBD7ABDFC3332C1B3 1FD8DD46D718178E582F1B0B5D66C327074D9D3111A95B64301E7CA4B5DBA3DC 0982984771046AB400668C9166E9F8865E777C2DFD1FEBD28A7E9606C78D85AF 98BD74926A555F57B8BAEF2593C7C62D7FADF7F43E22CF42632F6A9B79D081D1 CE4C8D65D9B426C34059715B293A7E8194E15BCB56E3387F67B54A80A03B356A A502FE1DC1BE8E3DFF5A8E7E9EF49F543A87DB894B5F2A46CD6ACCBCA5976D31 6093A46EF4359B134938710D92A98EA4F32F94B514976A91524572B616FF1CED 5B5895B11B176B4E4E810B9628580FDE78E0EA66F7342CC7B068817D4D7D4FCD C104AC9467FFD340A31F68E12DD72A50E2F28B83072785C2CFCA47C9EB7D881F 0E8F5FE9D40B1828174DCAFCF2EA8324910474D236076344D9FC47BC3D6933B9 2131D4F78DB83102EFABBD40A6D55608E07E5063FD863AC06A4CCDF1A68EFA7A 6E45C5BBA6119241FDF4235527D818BD2FD8206063EAFAABCE0734E7D3028433 952B0C7F6C31C709AB47F90A2EBAC817E741921B1ED7E1B81EF5126BADB45170 4B956054DBBD1B2144BA129E94AC986490CDC7A33037F0A32F2AFCF803E87804 486BBA48BE02C4AB82C32F85EEEDD070C9594B792C210BC28510AFA174FF5A99 A60BC880B5328E415D01BDDF071A9548B1959BAD 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /Lambda put dup 6 /Sigma put dup 11 /ff put dup 12 /fi put dup 14 /ffi put dup 19 /acute put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 76 /L put dup 77 /M put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 120 /x put dup 121 /y put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 53 /five put dup 57 /nine put dup 58 /colon put dup 64 /at put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 73 /I put dup 77 /M put dup 83 /S put dup 84 /T put dup 89 /Y put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueID 5000794 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 45 /hyphen put dup 49 /one put dup 50 /two put dup 65 /A put dup 73 /I put dup 76 /L put dup 77 /M put dup 82 /R put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 121 /y put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec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cleartomark %%EndFont TeXDict begin 39158280 55380996 1000 600 600 (D:/smile/AntiLog/AntiLog.dvi) @start /Fa 205[30 50[{}1 49.8132 /CMR6 rf /Fb 134[29 121[{}1 49.8132 /CMSY6 rf /Fc 135[43 120[{}1 66.4176 /CMBX8 rf /Fd 173[66 82[{}1 90.9091 /MSBM10 rf /Fe 134[44 42 60 42 49 30 37 38 42 46 46 51 74 23 1[28 28 46 42 28 42 46 42 42 46 9[91 68 1[65 51 66 1[62 70 68 82 57 1[48 35 2[59 62 69 65 64 68 18[28 33 28 31[51 12[{}46 90.9091 /CMTI10 rf /Ff 135[35 13[25 83[37 22[{}3 49.8132 /CMMI6 rf /Fg 134[61 29[101 1[116 131 20[80 80 80 80 61 13[80 80 14[72 72 14[54 54 6[53 53 6[42 42{}19 90.9091 /CMEX10 rf /Fh 134[31 70[47 71 19 26[55 17[35 2[55{}7 66.4176 /CMSY8 rf /Fi 143[76 5[25 2[45 45 9[61 35[51 0 4[61 91 15[91 91 10[71 71 5[45 7[71 3[71 25 71{}18 90.9091 /CMSY10 rf /Fj 194[55 9[35 35 35 35 4[55 1[27 27 33[51 6[{}9 66.4176 /CMR8 rf /Fk 135[40 2[41 6[43 2[37 29 24 41 1[34 23[56 2[60 12[55 35 33[40 3[35 42 6[29 15[{}16 66.4176 /CMMI8 rf /Fl 133[42 45 52 9[55 1[27 2[31 52 1[45 1[47 2[48 18[73 2[77 4[58 1[75 65 4[71 45 71 25 25 12[25 17[52 2[40 45 55 53 3[45 1[37 15[{}28 90.9091 /CMMI10 rf /Fm 128[45 4[40 48 48 66 48 51 35 36 36 48 51 45 51 76 25 48 28 25 51 45 28 40 51 40 51 45 25 2[25 45 25 56 68 1[93 68 68 66 51 67 71 62 71 68 83 57 71 47 33 68 71 59 62 69 66 64 68 3[71 1[25 25 45 45 45 45 45 45 45 45 45 45 1[25 30 25 71 1[35 35 25 4[45 14[45 4[76 1[51 53 4[66 2[63 3[{}83 90.9091 /CMR10 rf /Fn 134[55 55 2[58 41 41 43 1[58 52 58 87 29 55 32 29 58 2[48 1[46 58 51 12[73 58 78 1[71 2[99 63 7[80 76 74 7[29 52 52 52 52 52 52 52 52 52 52 1[29 33[58 12[{}41 90.9091 /CMBX10 rf /Fo 200[0 5[83 15[83 32[65{}4 83.022 /CMSY10 rf /Fp 135[47 57[65 39[50 22[{}3 83.022 /CMMI10 rf /Fq 134[44 3[46 32 33 33 1[46 42 46 69 23 2[23 46 42 25 37 46 37 46 42 12[60 17[59 7[23 5[42 2[42 2[23 28 3[32 32 40[{}28 83.022 /CMR10 rf /Fr 139[37 38 39 14[42 53 46 31[72 65[{}7 83.022 /CMBX10 rf /Fs 136[70 1[54 38 38 38 1[54 49 54 81 27 2[27 54 1[30 43 54 43 54 49 7[73 4[70 54 5[89 3[35 3[66 75 70 1[73 76 5[27 49 3[49 1[49 49 49 49 1[27 33 27 44[{}38 99.6264 /CMR12 rf /Ft 134[71 1[97 1[75 52 53 55 1[75 67 75 112 37 71 1[37 75 67 41 61 75 60 75 65 14[100 4[128 81 2[50 7[102 14[67 67 3[45 45[{}29 119.552 /CMBX12 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: a4 a4 %%EndPaperSize end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 711 894 a Ft(An)l(ti-in)l(tegrabilit)l(y)48 b(for)d(the)h(Logistic)f(Maps)1528 1158 y Fs(Yi-Chiuan)33 b(Chen)478 1286 y(Institute)g(of)g(Mathematics,)h(Academia)f(Sinica,)h (T)-8 b(aip)s(ei)33 b(11529,)e(T)-8 b(aiw)m(an)1095 1414 y(Email:)44 b(YCChen@math.sinica.edu.t)m(w)1511 1621 y(5)32 b(Decem)m(b)s(er)i(2003)1694 1966 y Fr(Abstract)734 2128 y Fq(The)i(em)n(b)r(edding)h(of)g(the)f(Bernoulli)g(shift)h(in)n (to)g(the)g(logistic)f(map)g Fp(x)i Fo(7!)609 2237 y Fp(\026x)p Fq(\(1)14 b Fo(\000)g Fp(x)p Fq(\))26 b(for)f Fp(\026)e(>)g Fq(4)i(is)g(rein)n(terpreted)f(b)n(y)i(the)f(theory)g(of) g(an)n(ti-in)n(tegrabilit)n(y:)609 2347 y(it)j(is)g(inherited)f(from)h (the)g(an)n(ti-in)n(tegrable)d(limit)k Fp(\026)23 b Fo(!)g(1)p Fq(.)523 3727 y Fn(2000)36 b(Mathematics)f(Sub)6 b(ject)35 b(Classi\014cation:)40 b Fm(37C15,)33 b(37D05,)f(37E05)1854 5652 y(1)p eop end %%Page: 2 2 TeXDict begin 2 1 bop 382 548 a Ft(1)135 b(In)l(tro)t(duction)382 762 y Fm(There)32 b(is)h(no)g(doubt)f(that)h(one)g(of)g(the)g(most)g (extensiv)m(ely)h(studied)e(dynamical)i(sys-)382 886 y(tems)d(is)f(the)h(family)f(of)h(logistic)h(maps)e(on)h(the)f(in)m (terv)-5 b(al)32 b([0)p Fl(;)15 b Fm(1]:)1093 1102 y Fl(x)1145 1116 y Fk(i)p Fj(+1)1289 1102 y Fm(=)25 b Fl(f)1430 1116 y Fk(\026)1476 1102 y Fm(\()p Fl(x)1563 1116 y Fk(i)1591 1102 y Fm(\))h(=)f Fl(\026x)1855 1116 y Fk(i)1883 1102 y Fm(\(1)c Fi(\000)f Fl(x)2127 1116 y Fk(i)2155 1102 y Fm(\))p Fl(;)198 b(\026)25 b Fi(\025)g Fm(0)p Fl(;)596 b Fm(\(1\))382 1317 y(whic)m(h,)30 b(as)g(the)g(parameter)g Fl(\026)g Fm(increases,)g(exhibits)g(c)m(haos)h(via)g(the)f(route)g(of) g(p)s(erio)s(d-)382 1442 y(doubling)f(bifurcation.)40 b(See)30 b(for)g(example)g([7)q(,)f(10)q(,)h(12)q(,)g(17)q(,)f(18)q(].) 41 b(When)29 b Fl(\026)h Fm(exceeds)g(4)382 1566 y(the)24 b(map)g(restricted)h(to)g(the)f(in)m(v)-5 b(arian)m(t)26 b(set)f(\003)1957 1580 y Fk(\026)2029 1566 y Fm(:=)g Fi(\\)2211 1533 y Fh(1)2211 1590 y Fk(n)p Fj(=0)2348 1566 y Fl(f)2403 1533 y Fh(\000)p Fk(n)2393 1588 y(\026)2504 1566 y Fm(\([0)p Fl(;)15 b Fm(1]\))26 b(is)f(top)s(ologically)382 1690 y(conjugate)35 b(to)g(the)f(Bernoulli)h(shift)f(with)g(t)m(w)m(o)h (sym)m(b)s(ols,)g(e.g.)53 b([8)q(,)34 b(13)q(,)g(20)q(],)h(namely)382 1814 y(the)30 b(follo)m(wing)i(diagram)f(comm)m(utes)1613 2018 y(\006)1679 2032 y Fj(2)1855 1967 y Fk(\033)1803 2018 y Fi(\000)-15 b(!)85 b Fm(\006)2101 2032 y Fj(2)1594 2160 y Fk(h)1635 2056 y Fg(?)1635 2110 y(?)1635 2165 y(y)2057 2056 y(?)2057 2110 y(?)2057 2165 y(y)2118 2160 y Fk(h)1610 2306 y Fm(\003)1673 2320 y Fk(\026)1839 2245 y(f)1873 2253 y Ff(\026)1803 2306 y Fi(\000)-15 b(!)83 b Fm(\003)2096 2320 y Fk(\026)382 2511 y Fm(where)30 b(\006)711 2525 y Fj(2)775 2511 y Fm(=)c Fi(f)p Fn(a)p Fi(j)31 b Fn(a)25 b Fm(=)g Fi(f)p Fl(a)1289 2525 y Fk(i)1318 2511 y Fi(g)1363 2478 y Fh(1)1363 2537 y Fk(i)p Fj(=0)1481 2511 y Fl(;)46 b(a)1600 2525 y Fk(i)1654 2511 y Fm(=)25 b(0)31 b(or)f(1)h Fi(8)p Fl(i)p Fi(g)p Fm(,)g Fl(\033)j Fm(is)c(the)h(Bernoulli)g(shift)f(acting)382 2636 y(in)i(suc)m(h)g(a)h (w)m(a)m(y)h(that)f Fl(\033)s Fm(\()p Fn(a)p Fm(\))c(=)g Fi(f)p Fl(a)1559 2650 y Fj(1)1599 2636 y Fl(;)15 b(a)1687 2650 y Fj(2)1727 2636 y Fl(;)g(a)1815 2650 y Fj(3)1855 2636 y Fl(;)g Fi(\001)g(\001)g(\001)h(g)29 b Fm(=)g Fi(f)p Fl(\033)s Fm(\()p Fn(a)p Fm(\))2411 2650 y Fk(i)2440 2636 y Fi(g)2485 2603 y Fh(1)2485 2661 y Fk(i)p Fj(=0)2637 2636 y Fm(with)j Fl(\033)s Fm(\()p Fn(a)p Fm(\))3022 2650 y Fk(i)3080 2636 y Fm(=)c Fl(a)3227 2650 y Fk(i)p Fj(+1)3345 2636 y Fm(,)382 2760 y(and)40 b Fl(h)p Fm(,)k(called)d(the)g (conjugacy)-8 b(,)45 b(is)40 b(a)h(homeomorphism)f(of)h(the)g(compact)g (set)h(\006)3332 2774 y Fj(2)382 2884 y Fm(\(with)i(the)g(pro)s(duct)e (top)s(ology\).)83 b(P)m(artition)45 b(the)f(in)m(terv)-5 b(al)45 b([0)p Fl(;)15 b Fm(1])45 b(in)m(to)g(t)m(w)m(o)g(parts)382 3008 y([0)p Fl(;)15 b Fm(1)p Fl(=)p Fm(2\))37 b(and)d(\(1)p Fl(=)p Fm(2)p Fl(;)15 b Fm(1],)39 b(then)34 b(an)h(orbit)g Fn(x)d Fm(=)g Fi(f)p Fl(x)2080 3022 y Fk(i)2109 3008 y Fi(g)2154 2975 y Fh(1)2154 3034 y Fk(i)p Fj(=0)2307 3008 y Fm(of)j Fl(x)2467 3022 y Fj(0)2539 3008 y Fi(2)d Fm(\003)2695 3022 y Fk(\026)2776 3008 y Fm(under)h(the)i(map)382 3132 y Fl(f)427 3146 y Fk(\026)506 3132 y Fm(giv)m(es)f(a)f(sequence)g Fn(a)g Fm(of)f(sym)m(b)s(ols)h(b)m(y)f(assigning)i(for)e(eac)m(h)i Fl(i)c Fi(\025)f Fm(0)k(that)g Fl(a)3082 3146 y Fk(i)3140 3132 y Fm(=)c(0)k(if)382 3257 y Fl(x)434 3271 y Fk(i)487 3257 y Fl(<)25 b Fm(1)p Fl(=)p Fm(2)i(or)f Fl(a)900 3271 y Fk(i)954 3257 y Fm(=)f(1)h(if)g Fl(x)1252 3271 y Fk(i)1305 3257 y Fl(>)f Fm(1)p Fl(=)p Fm(2.)41 b(The)25 b(conjugacy)i(indicates)g (there)f(is)g(a)g(one)h(to)f(one)382 3381 y(corresp)s(ondence)e(b)s(et) m(w)m(een)h(the)g(orbit)g(with)f(initial)i(p)s(oin)m(t)e Fl(x)2465 3395 y Fj(0)2529 3381 y Fm(and)g(the)h(sequence)g Fn(a)f Fm(of)382 3505 y(sym)m(b)s(ols.)43 b(W)-8 b(e)33 b(call)g Fn(a)27 b Fm(=)f Fl(h)1320 3472 y Fh(\000)p Fj(1)1415 3505 y Fm(\()p Fl(x)1502 3519 y Fj(0)1542 3505 y Fm(\))31 b(the)h Fe(c)-5 b(o)g(de)33 b Fm(of)e(the)h(orbit)g (determined)f(b)m(y)g Fl(x)3106 3519 y Fj(0)3145 3505 y Fm(.)44 b(The)382 3629 y(conjugacy)33 b(also)f(indicates)h(\003)1435 3643 y Fk(\026)1514 3629 y Fm(is)f(a)g(Can)m(tor)g(set.)46 b(\(A)32 b(simple)g(pro)s(of)f(of)h(\003)3000 3643 y Fk(\026)3079 3629 y Fm(b)s(eing)f(a)382 3753 y(Can)m(tor)g(set,)g (without)f(using)g Fl(h)p Fm(,)h(w)m(as)g(giv)m(en)g(b)m(y)f(Zeller)h (and)f(Thaler)g([22)q(].\))523 3878 y(In)48 b(this)g(note)h(w)m(e)g (shall)g(presen)m(t)f(an)h(approac)m(h)f(to)i(the)e(em)m(b)s(edding)g (of)g(the)382 4002 y(Bernoulli)c(shift)f(based)g(on)h(the)f(concept)i (of)f(an)m(ti-in)m(tegrabilit)m(y)-8 b(.)84 b(Our)42 b(approac)m(h)382 4126 y(is)30 b(analytical)j(and)d(has)g(an)g(adv)-5 b(an)m(tage)32 b(that)f(it)g(manifests)f(a)h(vivid)f(picture)g(on)h(ho) m(w)382 4250 y(the)j(map)g(is)g(conjugate)h(to)g(the)f(shift)g (dynamics)f(when)h Fl(\026)d(>)g Fm(4.)52 b(The)33 b(concept)i(w)m(as) 382 4374 y(\014rst)28 b(utilised)h(in)f(1990)i(b)m(y)f(Aubry)e(and)h (Abramo)m(vici)i([2)q(])e(to)i(in)m(v)m(estigate)h(c)m(haotic)g(or-)382 4499 y(bits)f(in)g(the)h(standard)e(map,)h(and)g(has)g(b)s(een)g (extended,)g(for)g(example,)i(b)m(y)e(MacKa)m(y)382 4623 y(and)d(Meiss)h([16)q(])g(to)h(pro)m(v)m(e)f(the)g(existence)h(of)f (can)m(tori)h(for)f(symplectic)h(maps)e(of)h(arbi-)382 4747 y(trary)g(dimension,)h(b)m(y)g(Easton)g Fe(et)h(al.)41 b Fm([9)q(])28 b(to)i(construct)f(a)g(non-zero)g(measure)f(set)h(of)382 4871 y(drifting)g(orbits)h(in)g(a)g(symplectic)h(map,)f(and)f(b)m(y)h (Bolotin)h(and)e(MacKa)m(y)j([4)q(])e(as)g(w)m(ell)382 4995 y(as)36 b(Chen)f([6)q(])h(to)h(the)g(existence)g(of)f(m)m (ulti-bump)g(tra)5 b(jectories)38 b(in)e(time-dep)s(enden)m(t)382 5120 y(Lagrangian)30 b(systems,)g(and)f(to)h(the)g(em)m(b)s(edding)f (of)h(sym)m(b)s(olic)g(dynamics)f(in)m(to)h(scat-)382 5244 y(tering)h(billiards)f([5)q(].)41 b(W)-8 b(e)31 b(are)g(going)g(to)h(sho)m(w)e(the)g(family)h(of)g(logistic)h(maps)e (is)h(also)382 5368 y(an)m(ti-in)m(tegrable)43 b(in)d(the)h(sense)f(of) h(Aubry)e([1)q(],)k(and)d(all)h(its)g(dynamics)f(for)g Fl(\026)i(>)f Fm(4)1854 5652 y(2)p eop end %%Page: 3 3 TeXDict begin 3 2 bop 382 548 a Fm(are)40 b(inherited)f(from)g(the)g (an)m(ti-in)m(tegrable)j(limit.)69 b(The)39 b(philosoph)m(y)g(b)s (ehind)e(is)i(as)382 672 y(follo)m(ws:)58 b(when)38 b Fl(\026)g Fm(b)s(ecomes)h(larger)h(and)e(larger,)j(the)e(in)m(v)-5 b(arian)m(t)40 b(set)f(\003)2954 686 y Fk(\026)3039 672 y Fm(b)s(ecomes)382 796 y(smaller)i(and)f(smaller,)j(and)d(ev)m(en)m (tually)i(collapses)g(to)f(t)m(w)m(o)h(p)s(oin)m(ts)e Fl(x)i Fm(=)g(0)e(and)g(1)382 921 y(when)c Fl(\026)g Fi(!)g(1)p Fm(.)60 b(One)37 b(can)g(think)f(that)i(the)f(dynamics)g(of) g(the)g(system)g(also)h(\\col-)382 1045 y(lapses")k(at)g(the)g (singular)f(limit)h Fl(\026)h Fi(!)h(1)p Fm(,)g(and)c(\\reduces")i([1)q (])f(to)i(the)e(Bernoulli)382 1169 y(shift.)523 1293 y(In)36 b(the)i(next)f(section,)j(the)d(an)m(ti-in)m(tegrable)j(limit)e (for)f(the)g(logistic)j(maps)c(and)382 1417 y(ho)m(w)29 b(the)h(dynamics)e(of)i(the)f(family)h(collapses)h(are)e(formalised)h (rigorously)-8 b(,)30 b(then)f(w)m(e)382 1542 y(giv)m(e)j(a)f(pro)s(of) e(for)h(the)h(em)m(b)s(edding)e(of)i(the)g(Bernoulli)f(shift.)382 1843 y Ft(2)135 b(An)l(ti-in)l(tegrabilit)l(y)382 2057 y Fm(Our)26 b(results)g(are)i(true)f(for)f(all)i Fl(\026)f Fm(greater)h(than)f(4,)h(but)e(in)h(order)f(to)i(pro)s(cess)f(without) 382 2181 y(encoun)m(tering)21 b(an)m(y)g(obstacle)i(and)d(to)h(ha)m(v)m (e)h(self-con)m(tained)h(pro)s(ofs,)f(w)m(e)f(only)g(consider)382 2306 y(the)34 b(case)h Fl(\026)c(>)g Fm(2)23 b(+)1087 2230 y Fi(p)p 1163 2230 46 4 v 76 x Fm(5)q(.)51 b(The)34 b(reason)g(is)g(b)s(ecause)g(w)m(e)g(require)g(a)g(crucial)h(fact)g (that)382 2430 y(the)26 b(non-trivial)h(tangen)m(t)g(orbits)f(\(or)h (linearised)f(orbits\))g(of)g(the)h(system)f(in)f(question)382 2554 y(are)36 b(un)m(b)s(ounded)e(and)h(this)h(fact)h(w)m(ould)f(b)s(e) f(particularly)i(easy)f(to)h(b)s(e)f(obtained)g(in)382 2678 y(the)g(considered)h(case.)59 b(W)-8 b(e)38 b(p)s(oin)m(t)e(out)h (in)f(remark)g(2.5)h(that)g(the)g(required)e(fact)j(is)382 2802 y(equiv)-5 b(alen)m(t)34 b(to)e(the)h(one)f(that)h(\003)1517 2816 y Fk(\026)1596 2802 y Fm(is)f(a)h(rep)s(elling)f(h)m(yp)s(erb)s (olic)f(in)m(v)-5 b(arian)m(t)34 b(set)e(for)g Fl(f)3299 2816 y Fk(\026)3345 2802 y Fm(.)382 2927 y(W)-8 b(e)31 b(recall)h(the)f(de\014nition:)382 3125 y Fn(De\014nition)d(2.1.)38 b Fe(A)n(n)26 b(invariant)j(set)e Fm(\003)h Fe(is)f(r)-5 b(ep)g(el)5 b(ling)28 b(hyp)-5 b(erb)g(olic)29 b(for)f(a)g Fl(C)2974 3093 y Fj(1)3013 3125 y Fe(-function)382 3250 y Fl(f)35 b Fm(:)27 b Fd(R)e Fi( )-15 b Fl(-)33 b Fe(if)g(ther)-5 b(e)34 b(ar)-5 b(e)34 b(c)-5 b(onstants)35 b Fl(C)e(>)25 b Fm(0)34 b Fe(and)g Fl(\025)26 b(>)g Fm(1)33 b Fe(such)h(that)g Fi(j)p Fm(\()p Fl(f)2823 3217 y Fk(n)2870 3250 y Fm(\))2905 3217 y Fh(0)2928 3250 y Fm(\()p Fl(x)p Fm(\))p Fi(j)27 b(\025)f Fl(C)7 b(\025)3324 3217 y Fk(n)382 3374 y Fe(for)33 b(al)5 b(l)33 b Fl(x)25 b Fi(2)g Fm(\003)33 b Fe(and)g Fl(n)25 b Fi(\025)g Fm(1)p Fe(.)523 3573 y Fm(The)32 b(h)m(yp)s(erb)s(olicit)m(y)-8 b(,)34 b(whic)m(h)e(is)h(a)f(k)m(ey)i (for)e(pro)m(ving)g(\003)2417 3587 y Fk(\026)2497 3573 y Fm(has)g(empt)m(y)h(in)m(terior,)h(or)382 3697 y(pro)m(ving)39 b Fl(h)f Fm(is)h(a)g(homeomorphism)e(in)i(the)f(comm)m(utativ)m(e)j (diagram,)g(for)e Fl(\026)f Fm(larger)382 3821 y(than)i(4)h(is)g(not)g (trivial.)72 b(F)-8 b(or)42 b Fl(\026)g(>)g Fm(2)27 b(+)1854 3746 y Fi(p)p 1930 3746 V 75 x Fm(5)41 b(it)g(can)g(b)s(e)f(ac)m(hiev)m (ed)i(easily)g(b)s(ecause)382 3945 y(all)c(p)s(oin)m(ts)f(in)f Fl(f)962 3912 y Fh(\000)p Fj(1)952 3968 y Fk(\026)1056 3945 y Fm(\([0)p Fl(;)15 b Fm(1]\))39 b(ha)m(v)m(e)g(absolute)e(v)-5 b(alues)38 b(of)f(deriv)-5 b(ativ)m(es)38 b(strictly)g(greater)382 4070 y(than)32 b(one,)i(whereas)e(there)h(are)g(p)s(oin)m(ts)f Fl(x)h Fm(with)f Fi(j)p Fl(f)2175 4037 y Fh(0)2165 4092 y Fk(\026)2212 4070 y Fm(\()p Fl(x)p Fm(\))p Fi(j)d(\024)g Fm(1)k(for)f(4)e Fl(<)e(\026)h Fi(\024)g Fm(2)22 b(+)3224 3994 y Fi(p)p 3300 3994 V 76 x Fm(5,)382 4194 y(so)43 b(some)g(w)m(orks)g(are)g(needed)f(to)h(get)h(around)e(this)g(problem.) 78 b(See)42 b(for)h(example)382 4318 y(the)32 b(textb)s(o)s(ok)g(of)h (Robinson)e([20)q(],)i(where)e(the)h(P)m(oincar)m(\023)-43 b(e)35 b(metric)d(and)g(the)g(Sc)m(h)m(w)m(arz)382 4442 y(lemma)e(of)g(complex)g(analysis)g(are)g(emplo)m(y)m(ed,)i(or)d(the)h (exp)s(osition)g(of)g(Kraft)g([14)q(],)g(in)382 4566 y(whic)m(h)38 b(an)h(idea)g(of)f(the)h(\\return)f(map")h(\(cf.)66 b([8,)39 b(12)q(]\))g(and)f(the)h(fact)g(that)g Fl(f)3154 4580 y Fk(\026)3239 4566 y Fm(has)382 4691 y(negativ)m(e)32 b(Sc)m(h)m(w)m(arzian)g(deriv)-5 b(ativ)m(es)32 b(are)f(used.)523 4815 y(A)c(dynamical)g(systems)g(is,)h(in)e(Aubry's)g(sense)h([1)q(],)h (at)f(the)g(an)m(ti-in)m(tegrable)j(limit)382 4939 y(if)f(it)h(b)s (ecomes)f(non-deterministic)h(and)f(virtually)h(a)f(Bernoulli)h(shift.) 40 b(This)29 b(picture)382 5063 y(of)h(the)h(limit)g(is)g(particularly) g(clear)g(in)f(our)g(case.)382 5262 y Fn(Theorem)35 b(2.2.)42 b Fe(The)33 b(lo)-5 b(gistic)33 b(map)h Fl(f)1765 5276 y Fk(u)1842 5262 y Fe(is)f(anti-inte)-5 b(gr)g(able)33 b(at)h(the)f(limit)g Fl(\026)25 b Fi(!)g(1)p Fe(.)1854 5652 y Fm(3)p eop end %%Page: 4 4 TeXDict begin 4 3 bop 523 548 a Fm(T)-8 b(o)30 b(see)g(this,)f(let)i Fl(\017)25 b Fm(=)g(1)p Fl(=\026)p Fm(,)30 b(then)f Fi(f)p Fl(x)1795 562 y Fk(i)1824 548 y Fi(g)p Fm(,)h Fl(i)25 b Fi(\025)g Fm(0,)31 b(is)e(an)g(orbit)g(of)h(\(1\))g(if)g(and)e(only)i (if)1506 731 y Fl(x)1558 745 y Fk(i)1586 731 y Fm(\(1)21 b Fi(\000)f Fl(x)1830 745 y Fk(i)1858 731 y Fm(\))25 b(=)g Fl(\017x)2103 745 y Fk(i)p Fj(+1)2222 731 y Fl(:)382 915 y Fm(When)35 b Fl(\017)d Fm(=)h(0,)j(the)f(ab)s(o)m(v)m(e)h (di\013erence)g(equation)f(b)s(ecomes)g(an)g(algebraic)i(one,)f(and)382 1039 y(w)m(e)45 b(ha)m(v)m(e)h Fl(x)806 1053 y Fk(i)883 1039 y Fm(=)i(0)d(or)f(1)h(for)g(eac)m(h)g Fl(i)p Fm(.)84 b(Since)44 b(that)h Fl(x)2333 1053 y Fk(i)2406 1039 y Fm(is)f(equal)h(to)h(0)f(or)f(1)h(do)s(es)382 1163 y(not)37 b(determine)g(the)g(v)-5 b(alue)38 b(of)f Fl(x)1548 1177 y Fk(i)p Fj(+1)1666 1163 y Fm(,)i(the)e(system)g(at)h Fl(\017)e Fm(=)g(0)h(\(or)h Fl(\026)e Fm(=)g Fi(1)p Fm(\))h(is)g(non-) 382 1287 y(deterministic;)c(since)g(for)e(an)m(y)h Fi(f)p Fl(x)1590 1301 y Fk(i)1619 1287 y Fi(g)c(2)f Fm(\006)1846 1301 y Fj(2)1917 1287 y Fm(w)m(e)32 b(ha)m(v)m(e)h Fl(x)2315 1301 y Fk(i)p Fj(+1)2461 1287 y Fm(=)27 b Fl(\033)s Fm(\()p Fi(f)p Fl(x)2746 1301 y Fk(i)2775 1287 y Fi(g)p Fm(\))2855 1301 y Fk(i)2884 1287 y Fm(,)33 b(the)e(system)382 1411 y(is)d(virtually)h(a)f(Bernoulli)h(shift)f(with)g(t)m(w)m(o)h(sym)m(b)s (ols.)40 b(Hence)29 b(w)m(e)f(ha)m(v)m(e)i(the)e(theorem.)523 1536 y(An)m(y)40 b(an)m(ti-in)m(tegrable)i(orbit)e(of)f(the)h(logistic) i(map)d(is)g(then)h(precisely)g(a)g(p)s(oin)m(t)382 1660 y(lying)e(in)f(the)g(space)h(\006)1206 1674 y Fj(2)1245 1660 y Fm(.)62 b(In)37 b(the)g(sequel,)j(w)m(e)e(sho)m(w)f(that)h(all)g (the)g(an)m(ti-in)m(tegrable)382 1784 y(orbits)30 b(p)s(ersist)g(as)h (long)f(as)h Fl(\026)f Fm(is)h(greater)g(than)f(2)21 b(+)2206 1709 y Fi(p)p 2282 1709 46 4 v 75 x Fm(5.)523 1908 y(W)-8 b(e)46 b(re-write)f(the)g(map)g(\(1\))g(as)g(another)g(map) g Fl(F)13 b Fm(\()p Fi(\001)p Fl(;)i(\017)p Fm(\))46 b(in)e(the)h(space)h Fl(l)3151 1922 y Fh(1)3275 1908 y Fm(:=)382 2032 y Fi(f)p Fn(x)p Fi(j)34 b Fn(x)d Fm(=)f Fi(f)p Fl(x)825 2046 y Fj(0)865 2032 y Fl(;)15 b(x)957 2046 y Fj(1)997 2032 y Fl(;)g(x)1089 2046 y Fj(2)1129 2032 y Fl(;)g Fi(\001)g(\001)g(\001)h(g)p Fl(;)f(x)1427 2046 y Fk(i)1487 2032 y Fi(2)30 b Fd(R)p Fl(;)48 b Fm(b)s(ounded)n Fi(g)34 b Fm(of)g(b)s(ounded)d(sequences)j(with)f(the)382 2157 y(sup)c(norm:)719 2340 y Fl(F)38 b Fm(:)26 b Fl(l)893 2354 y Fh(1)988 2340 y Fi(\002)20 b Fd(R)83 b Fi(!)f Fl(l)1428 2354 y Fh(1)1503 2340 y Fl(;)941 2489 y Fm(\()p Fn(x)p Fl(;)15 b(\017)p Fm(\))85 b Fi(7!)d Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))27 b(=)e Fi(f)p Fl(F)1900 2503 y Fj(0)1940 2489 y Fm(\()p Fn(x)p Fl(;)15 b(\017)p Fm(\))p Fl(;)g(F)2240 2503 y Fj(1)2282 2489 y Fm(\()p Fn(x)p Fl(;)g(\017)p Fm(\))p Fl(;)g(F)2582 2503 y Fj(2)2623 2489 y Fm(\()p Fn(x)p Fl(;)g(\017)p Fm(\))p Fl(;)g Fi(\001)g(\001)g (\001)j(g)382 2673 y Fm(with)29 b Fl(F)646 2687 y Fk(i)675 2673 y Fm(\()p Fn(x)p Fl(;)15 b(\017)p Fm(\))26 b(=)f Fi(\000)p Fl(\017x)1159 2687 y Fk(i)p Fj(+1)1296 2673 y Fm(+)18 b Fl(x)1437 2687 y Fk(i)1465 2673 y Fm(\(1)h Fi(\000)g Fl(x)1706 2687 y Fk(i)1734 2673 y Fm(\).)40 b(It)30 b(is)g(readily)g(to)g(see)g(that)g Fn(x)g Fm(is)f(an)h(orbit)f (of)382 2797 y(\(1\))g(if)e(and)g(only)h(if)f(it)h(solv)m(es)h Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))27 b(=)e Fn(0)p Fm(.)40 b(Theorem)27 b(2.2)i(can)e(b)s(e)g(rephrased)g(as)g(the) 382 2921 y(follo)m(wing.)382 3093 y Fn(Prop)s(osition)36 b(2.3.)42 b Fl(F)13 b Fm(\()p Fn(x)1312 3060 y Fh(y)1348 3093 y Fl(;)i Fm(0\))27 b(=)e Fn(0)33 b Fe(if)f(and)h(only)h(if)e Fl(x)2278 3049 y Fh(y)2278 3120 y Fk(i)2339 3093 y Fm(=)25 b(0)33 b Fe(or)g Fm(1)g Fe(for)g(every)g Fl(i)25 b Fi(\025)g Fm(0)p Fe(.)523 3265 y Fm(W)-8 b(e)36 b(pro)s(ceed)e(to)h(sho)m(w,)g(b) m(y)f(emplo)m(ying)h(the)g(implicit)g(function)f(theorem,)i(that)382 3389 y(an)m(y)31 b Fn(x)609 3356 y Fh(y)675 3389 y Fm(in)f(the)g(prop)s (osition)g(can)h(b)s(e)f(con)m(tin)m(ued)h(to)g Fl(\017)f Fm(less)h(than)f(1)p Fl(=)p Fm(\(2)22 b(+)2961 3314 y Fi(p)p 3037 3314 V 75 x Fm(5\).)382 3562 y Fn(Theorem)32 b(2.4.)40 b Fe(Pr)-5 b(oviding)30 b Fl(\017)c(<)f Fm(1)p Fl(=)p Fm(\(2)15 b(+)1863 3486 y Fi(p)p 1939 3486 V 76 x Fm(5)q(\))p Fe(,)31 b(then)f(for)h(any)g(anti-inte)-5 b(gr)g(able)31 b(orbit)382 3686 y Fn(x)437 3653 y Fh(y)473 3686 y Fe(,)40 b(ther)-5 b(e)41 b(c)-5 b(orr)g(esp)g(onds)43 b(a)c(unique)g Fl(C)1729 3653 y Fj(1)1768 3686 y Fe(-family)g(of)h(p)-5 b(oints)41 b Fn(x)2526 3653 y Fh(\003)2565 3686 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)2732 3653 y Fh(y)2769 3686 y Fm(\))38 b(=)f Fi(f)p Fl(x)3047 3653 y Fh(\003)3047 3711 y Fk(i)3087 3686 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)3254 3653 y Fh(y)3290 3686 y Fm(\))p Fi(g)382 3810 y Fe(in)39 b Fl(l)527 3824 y Fh(1)642 3810 y Fe(p)-5 b(ar)g(ametrise)g(d)43 b(by)c Fl(\017)g Fe(such)h(that)h Fn(x)1846 3777 y Fh(\003)1885 3810 y Fm(\(0;)15 b Fn(x)2060 3777 y Fh(y)2097 3810 y Fm(\))38 b(=)g Fn(x)2334 3777 y Fh(y)2409 3810 y Fe(and)i Fl(F)13 b Fm(\()p Fn(x)2753 3777 y Fh(\003)2793 3810 y Fm(\()p Fl(\017)p Fm(;)i Fn(x)2960 3777 y Fh(y)2996 3810 y Fm(\))p Fl(;)g(\017)p Fm(\))39 b(=)f Fn(0)p Fe(.)382 3934 y(Conversely,)29 b(if)e Fn(x)1007 3948 y Fk(\017)1067 3934 y Fe(is)g(such)g(a)h(p)-5 b(oint)29 b(that)f Fl(F)13 b Fm(\()p Fn(x)2000 3948 y Fk(\017)2033 3934 y Fl(;)i(\017)p Fm(\))26 b(=)f Fn(0)p Fe(,)k(then)e(ther)-5 b(e)28 b(exists)g(a)f (unique)382 4058 y Fn(x)437 4025 y Fh(y)505 4058 y Fe(such)33 b(that)h Fl(F)13 b Fm(\()p Fn(x)1059 4025 y Fh(y)1095 4058 y Fl(;)i Fm(0\))26 b(=)f Fn(0)33 b Fe(and)h Fn(x)1654 4025 y Fh(\003)1693 4058 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)1860 4025 y Fh(y)1897 4058 y Fm(\))25 b(=)g Fn(x)2108 4072 y Fk(\017)2141 4058 y Fe(.)523 4230 y Fm(The)j(pro)s(of)h(is)g(as) g(follo)m(ws.)41 b Fl(F)h Fm(certainly)30 b(is)f(a)h Fl(C)2190 4197 y Fj(1)2228 4230 y Fm(-map)f(with)g(its)g(deriv)-5 b(ativ)m(e)31 b(at)f Fn(x)382 4355 y Fm(a)h(linear)f(map)880 4538 y Fl(D)955 4552 y Fc(x)1003 4538 y Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))26 b(:)g Fl(l)1380 4552 y Fh(1)1480 4538 y Fi( )-15 b Fl(-;)106 b(\030)29 b Fi(7!)1897 4464 y Fg(\010)1950 4538 y Fm(\006)2016 4500 y Fh(1)2016 4560 y Fk(j)t Fj(=0)2143 4538 y Fl(D)2218 4552 y Fk(x)2258 4562 y Ff(j)2294 4538 y Fl(F)2352 4552 y Fk(i)2381 4538 y Fm(\()p Fn(x)p Fl(;)15 b(\017)p Fm(\))p Fl(\030)2623 4552 y Fk(j)2661 4464 y Fg(\011)2714 4487 y Fh(1)2714 4578 y Fk(i)p Fj(=0)2847 4538 y Fl(;)382 4721 y Fm(or)30 b(in)g(matrix)h(form)563 5142 y Fl(D)638 5156 y Fc(x)685 5142 y Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))p Fl(\030)31 b Fm(=)1125 4795 y Fg(0)1125 4955 y(B)1125 5010 y(B)1125 5064 y(B)1125 5119 y(B)1125 5173 y(B)1125 5228 y(B)1125 5286 y(@)1204 4876 y Fm(1)21 b Fi(\000)f Fm(2)p Fl(x)1458 4890 y Fj(0)1674 4876 y Fi(\000)p Fl(\017)299 b Fm(0)332 b(0)207 b Fi(\001)15 b(\001)g(\001)1328 5000 y Fm(0)208 b(1)20 b Fi(\000)g Fm(2)p Fl(x)1834 5014 y Fj(1)2050 5000 y Fi(\000)p Fl(\017)300 b Fm(0)207 b Fi(\001)15 b(\001)g(\001)1328 5124 y Fm(0)332 b(0)207 b(1)21 b Fi(\000)f Fm(2)p Fl(x)2211 5138 y Fj(2)2427 5124 y Fi(\000)p Fl(\017)175 b Fi(\001)15 b(\001)g(\001)1328 5248 y Fm(0)332 b(0)f(0)208 b(1)20 b Fi(\000)g Fm(2)p Fl(x)2587 5262 y Fj(3)2710 5248 y Fi(\001)15 b(\001)g(\001)1338 5345 y Fm(.)1338 5378 y(.)1338 5411 y(.)1715 5345 y(.)1715 5378 y(.)1715 5411 y(.)2091 5345 y(.)2091 5378 y(.)2091 5411 y(.)2468 5345 y(.)2468 5378 y(.)2468 5411 y(.)2715 5353 y(.)2751 5378 y(.)2786 5403 y(.)2816 4795 y Fg(1)2816 4955 y(C)2816 5010 y(C)2816 5064 y(C)2816 5119 y(C)2816 5173 y(C)2816 5228 y(C)2816 5286 y(A)2911 4795 y(0)2911 4955 y(B)2911 5010 y(B)2911 5064 y(B)2911 5119 y(B)2911 5173 y(B)2911 5228 y(B)2911 5286 y(@)2990 4876 y Fl(\030)3030 4890 y Fj(0)2990 5000 y Fl(\030)3030 5014 y Fj(1)2990 5124 y Fl(\030)3030 5138 y Fj(2)2990 5248 y Fl(\030)3030 5262 y Fj(3)3017 5345 y Fm(.)3017 5378 y(.)3017 5411 y(.)3070 4795 y Fg(1)3070 4955 y(C)3070 5010 y(C)3070 5064 y(C)3070 5119 y(C)3070 5173 y(C)3070 5228 y(C)3070 5286 y(A)3164 5142 y Fl(:)1854 5652 y Fm(4)p eop end %%Page: 5 5 TeXDict begin 5 4 bop 382 548 a Fm(Th)m(us)24 b(it)i(is)g(easy)g(to)g (see)g Fl(D)1298 562 y Fc(x)1345 548 y Fl(F)13 b Fm(\()p Fn(x)1506 515 y Fh(y)1542 548 y Fl(;)i Fm(0\))27 b(is)e(in)m(v)m (ertible)i(b)s(ecause)e(it)h(is)g(a)g(diagonal)g(matrix)382 672 y(with)k(en)m(tries)h Fi(\006)p Fm(1.)41 b(So,)30 b(the)h(theorem)g(is)f(true)g(for)h Fl(\017)f Fm(su\016cien)m(tly)h (small.)523 796 y(When)f Fl(\017)g Fm(is)h(not)f(zero,)i Fl(D)1401 810 y Fc(x)1448 796 y Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))32 b(is)e(in)m(v)m(ertible)i(if)e(and)g(only)h(if) 1380 1007 y Fi(\000)p Fl(\017\030)1528 1021 y Fk(i)p Fj(+1)1666 1007 y Fm(+)20 b(\(1)h Fi(\000)f Fm(2)p Fl(x)2046 1021 y Fk(i)2075 1007 y Fm(\))p Fl(\030)2150 1021 y Fk(i)2203 1007 y Fm(=)25 b Fl(\021)2344 1021 y Fk(i)3255 1007 y Fm(\(2\))382 1217 y(p)s(ossesses)35 b(a)g(unique)f(b)s(ounded)f (solution)j(for)f(an)m(y)g(giv)m(en)i Fl(\021)f Fm(=)d Fi(f)p Fl(\021)2719 1231 y Fk(i)2748 1217 y Fi(g)2793 1231 y Fk(i)p Fh(\025)p Fj(0)2945 1217 y Fi(2)g Fl(l)3066 1231 y Fh(1)3140 1217 y Fm(.)55 b(But)382 1342 y(\(2\))31 b(has)f(a)h(solution)1063 1627 y Fl(\030)1103 1641 y Fk(i)1214 1627 y Fm(=)1378 1541 y Fg(X)1367 1738 y Fk(N)7 b Fh(\025)p Fj(0)1536 1627 y Fl(\017)1573 1590 y Fk(N)1655 1472 y Fg( )1760 1513 y Fk(N)1733 1541 y Fg(Y)1727 1738 y Fk(k)r Fj(=0)1871 1627 y Fm(\(1)21 b Fi(\000)f Fm(2)p Fl(x)2160 1642 y Fk(i)p Fj(+)p Fk(k)2282 1627 y Fm(\))2317 1585 y Fh(\000)p Fj(1)2411 1472 y Fg(!)2499 1627 y Fl(\021)2544 1641 y Fk(i)p Fj(+)p Fk(N)1214 1912 y Fm(=)82 b Fl(\017)1404 1875 y Fh(\000)p Fj(1)1525 1826 y Fg(X)1514 2023 y Fk(N)7 b Fh(\025)p Fj(0)1682 1811 y Fg(\020)1736 1839 y(\000)1778 1912 y Fl(f)1833 1875 y Fk(N)g Fj(+1)1823 1935 y Fk(\026)1990 1839 y Fg(\001)2032 1856 y Fh(0)2070 1912 y Fm(\()p Fl(x)2157 1926 y Fk(i)2185 1912 y Fm(\))2220 1811 y Fg(\021)2275 1834 y Fh(\000)p Fj(1)2385 1912 y Fl(\021)2430 1926 y Fk(i)p Fj(+)p Fk(N)2576 1912 y Fl(;)654 b Fm(\(3\))382 2206 y(whic)m(h)34 b(is)h(b)s(ounded)e(for)h(ev)m(ery)i Fl(i)d Fi(\025)f Fm(0)j(b)s(ecause)g(\(3\))h(is)f(a)g(geometric)i (series)e(coming)382 2330 y(from)30 b(the)h(expanding)f(prop)s(ert)m(y) g(that)h Fi(j)p Fm(\(1)21 b Fi(\000)g Fm(2)p Fl(x)p Fm(\))p Fl(\017)2147 2297 y Fh(\000)p Fj(1)2242 2330 y Fi(j)k Fm(=)h Fi(j)p Fl(f)2469 2297 y Fh(0)2459 2353 y Fk(\026)2505 2330 y Fm(\()p Fl(x)p Fm(\))p Fi(j)h Fl(>)e Fm(1)c(+)f Fl(C)37 b Fm(for)30 b(some)382 2454 y(p)s(ositiv)m(e)45 b(constan)m(t)g Fl(C)50 b Fm(and)44 b(for)g(all)g Fl(x)g Fm(b)s(elonging)g(to)h Fl(f)2411 2421 y Fh(\000)p Fj(1)2401 2477 y Fk(\026)2505 2454 y Fm(\([0)p Fl(;)15 b Fm(1]\))46 b(\(e.g.)83 b([8)q(,)44 b(20)q(]\).)382 2578 y(F)-8 b(urthermore,)30 b(notice)i(that)679 2859 y Fl(\030)719 2873 y Fk(i)p Fj(+)p Fk(N)890 2859 y Fm(=)25 b Fl(\030)1026 2873 y Fk(i)1054 2859 y Fl(\017)1091 2821 y Fh(\000)p Fk(N)1228 2745 y(N)7 b Fh(\000)p Fj(1)1247 2773 y Fg(Y)1241 2970 y Fk(k)r Fj(=0)1382 2859 y Fm(\(1)21 b Fi(\000)f Fm(2)p Fl(x)1671 2874 y Fk(i)p Fj(+)p Fk(k)1793 2859 y Fm(\))25 b(=)g(\()p Fl(f)2039 2821 y Fk(N)2029 2881 y(\026)2106 2859 y Fm(\))2141 2821 y Fh(0)2165 2859 y Fm(\()p Fl(x)2252 2873 y Fk(i)2280 2859 y Fm(\))p Fl(\030)2355 2873 y Fk(i)2474 2859 y Fi(8)30 b Fl(i)c Fi(\025)f Fm(0)p Fl(;)46 b(N)35 b Fi(\025)25 b Fm(1)382 3142 y(is)31 b(a)g(homogeneous)h(solution)f(of) g(\(2\),)i(then)e(b)m(y)f(the)h(same)h(prop)s(ert)m(y)-8 b(,)31 b(w)m(e)g(see)h Fi(f)p Fl(\030)3205 3156 y Fk(i)3233 3142 y Fi(g)g Fm(is)382 3266 y(un)m(b)s(ounded)i(unless)i Fl(\030)41 b Fm(is)c(iden)m(tical)h(to)g Fn(0)p Fm(.)60 b(This)36 b(means)g(solution)i(\(3\))g(is)f(the)g(only)382 3390 y(b)s(ounded)22 b(solution.)40 b(Therefore)24 b Fl(D)1606 3404 y Fc(x)1653 3390 y Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))26 b(is)e(in)m(v)m(ertible)i(and)e(the)h(theorem)g (follo)m(ws)382 3515 y(from)30 b(the)g(implicit)i(function)e(theorem.) 382 3709 y Fn(Remark)i(2.5.)40 b Fm(The)27 b(ab)s(o)m(v)m(e)i(pro)s(of) e(rev)m(eals)i(the)e(fact)i(that)f(an)g(orbit)f Fn(x)h Fm(is)g(uniformly)382 3834 y(h)m(yp)s(erb)s(olic)23 b(if)h(and)f(only)h (if)g(the)g(linearised)h(di\013erence)f(equation)h Fl(\030)2691 3848 y Fk(i)p Fj(+1)2816 3834 y Fi(\000)7 b Fl(f)2949 3801 y Fh(0)2939 3856 y Fk(\026)2985 3834 y Fm(\()p Fl(x)3072 3848 y Fk(i)3101 3834 y Fm(\))p Fl(\030)3176 3848 y Fk(i)3229 3834 y Fm(=)25 b(0)382 3958 y(has)34 b(only)h(the)g(trivial)h(b)s (ounded)d(solution)i(if)g(and)f(only)g(if)h Fl(D)2547 3972 y Fc(x)2595 3958 y Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))35 b(is)g(in)m(v)m(ertible)382 4082 y(\(cf.)41 b([15)q(,)31 b(19)q(],)g(also)g([3)q(])f(for)g(the)h(case)g(of)g (symplectic)g(maps\).)523 4277 y(Since)41 b(the)g(set)g(\003)1153 4295 y Fj(1)p Fk(=\017)1297 4277 y Fm(consists)g(of)g(those)g(p)s(oin)m (ts)g(in)f(the)h(in)m(terv)-5 b(al)42 b([0)p Fl(;)15 b Fm(1])43 b(whose)382 4401 y(orbits)30 b(are)h(b)s(ounded,)d(in)j(the) f(ligh)m(t)i(of)e(theorem)h(2.4,)h(w)m(e)f(infer)e(that)1456 4612 y(\003)1519 4630 y Fj(1)p Fk(=\017)1647 4612 y Fm(=)1797 4525 y Fg([)1743 4730 y Fc(x)1786 4711 y Fb(y)1819 4730 y Fh(2)p Fj(\006)1917 4739 y Fa(2)1967 4612 y Fl(x)2019 4574 y Fh(\003)2019 4634 y Fj(0)2058 4612 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)2225 4574 y Fh(y)2262 4612 y Fm(\))382 4906 y(and)46 b(that)i(the)f(bijectivit)m(y)j(of)d Fl(h)g Fm(in)g(the)g(comm)m(utativ)m(e)j(diagram)e(in)e(the)i(in)m(tro-)382 5030 y(duction)36 b(section)h(can)f(b)s(e)f(constructed)i(b)m(y)e(the)i (comp)s(osition)f(of)g(mappings)g Fn(x)3210 4997 y Fh(y)3280 5030 y Fi(7!)382 5155 y Fn(x)437 5122 y Fh(\003)477 5155 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)644 5122 y Fh(y)680 5155 y Fm(\))29 b Fi(7!)f Fl(x)915 5122 y Fh(\003)915 5179 y Fj(0)955 5155 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)1122 5122 y Fh(y)1158 5155 y Fm(\).)47 b(The)32 b(pro)5 b(jection)33 b Fn(x)1943 5122 y Fh(\003)1983 5155 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)2150 5122 y Fh(y)2186 5155 y Fm(\))29 b Fi(7!)g Fl(x)2422 5122 y Fh(\003)2422 5179 y Fj(0)2461 5155 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)2628 5122 y Fh(y)2664 5155 y Fm(\))33 b(certainly)h(is)e(con-)382 5279 y(tin)m(uous,)46 b(one)c(can)h(therefore)g(accomplish)h(the)e(em)m(b)s(edding)g(simply)g (b)m(y)h(sho)m(wing)382 5403 y(the)c(con)m(tin)m(uation)i Fn(x)1136 5370 y Fh(y)1212 5403 y Fi(7!)e Fn(x)1397 5370 y Fh(\003)1437 5403 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)1604 5370 y Fh(y)1640 5403 y Fm(\))40 b(is)f(con)m(tin)m(uous)h(with)e(the)i (pro)s(duct)e(top)s(ology)-8 b(.)1854 5652 y(5)p eop end %%Page: 6 6 TeXDict begin 6 5 bop 382 548 a Fm(Then)38 b Fl(h)g Fm(is)h(a)g(con)m (tin)m(uous)g(bijection)h(from)e(the)h(compact)h(set)f(\006)2721 562 y Fj(2)2798 548 y Fm(in)m(to)h(the)f(in)m(ter-)382 672 y(v)-5 b(al)40 b([0)p Fl(;)15 b Fm(1])42 b(hence)d(is)h(a)g (homeomorphism.)68 b(T)-8 b(o)40 b(sho)m(w)g Fl(h)g Fm(is)f(a)i (conjugacy)-8 b(,)43 b(supp)s(ose)382 796 y(an)d(initial)i(p)s(oin)m(t) f Fl(x)1091 810 y Fj(0)1171 796 y Fm(whic)m(h)f(determines)h(a)g(co)s (de)f Fl(h)2269 763 y Fh(\000)p Fj(1)2364 796 y Fm(\()p Fl(x)2451 810 y Fj(0)2491 796 y Fm(\),)k(then)c(w)m(e)h(m)m(ust)f(ha)m (v)m(e)382 921 y Fl(\033)23 b Fi(\016)e Fl(h)575 888 y Fh(\000)p Fj(1)670 921 y Fm(\()p Fl(x)757 935 y Fj(0)796 921 y Fm(\))26 b(=)f Fl(h)1005 888 y Fh(\000)p Fj(1)1100 921 y Fm(\()p Fl(x)1187 935 y Fj(1)1226 921 y Fm(\))h(=)f Fl(h)1435 888 y Fh(\000)p Fj(1)1550 921 y Fi(\016)c Fl(f)1661 935 y Fk(\026)1707 921 y Fm(\()p Fl(x)1794 935 y Fj(0)1833 921 y Fm(\).)382 1119 y Fn(Lemma)36 b(2.6.)43 b Fe(With)34 b(the)g(pr)-5 b(o)g(duct)35 b(top)-5 b(olo)g(gy,)37 b(the)d(map)h Fn(x)2448 1086 y Fh(y)2511 1119 y Fi(7!)27 b Fn(x)2684 1086 y Fh(\003)2723 1119 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)2890 1086 y Fh(y)2927 1119 y Fm(\))34 b Fe(is)f(c)-5 b(ontin-)382 1244 y(uous.)523 1443 y Fm(This)30 b(lemma)h(is)f(a)h (consequence)g(of)f(the)h(follo)m(wing)h(result.)382 1642 y Fn(Prop)s(osition)37 b(2.7.)42 b Fe(Supp)-5 b(ose)35 b Fl(F)13 b Fm(\()p Fn(x)p Fl(;)i(\017)p Fm(\))27 b(=)f(0)p Fe(,)33 b Fl(F)13 b Fm(\()p Fn(y)q Fl(;)i(\017)p Fm(\))28 b(=)e(0)33 b Fe(and)i(supp)-5 b(ose)34 b(the)g(c)-5 b(orr)g(e-)382 1766 y(sp)g(onding)36 b(c)-5 b(o)g(des)36 b(ar)-5 b(e)35 b(such)g(that)h Fl(x)1604 1721 y Fh(y)1604 1793 y Fk(i)1668 1766 y Fm(=)29 b Fl(y)1816 1721 y Fh(y)1813 1793 y Fk(i)1885 1766 y Fe(for)35 b Fl(i)29 b Fi(\024)g Fl(N)10 b Fe(.)47 b(Pr)-5 b(oviding)35 b Fl(\017)29 b(<)g Fm(1)p Fl(=)p Fm(\(2)23 b(+)3214 1691 y Fi(p)p 3290 1691 46 4 v 75 x Fm(5\))382 1890 y Fe(then)33 b(ther)-5 b(e)34 b(exists)e Fl(\025)26 b(>)f Fm(1)33 b Fe(such)f(that)i Fi(j)p Fl(x)1781 1904 y Fk(i)1830 1890 y Fi(\000)20 b Fl(y)1966 1904 y Fk(i)1994 1890 y Fi(j)25 b Fl(<)g(\025)2193 1857 y Fh(\000)p Fj(\()p Fk(N)7 b Fh(\000)p Fk(i)p Fj(\))2449 1890 y Fi(j)p Fl(x)2526 1904 y Fk(N)2614 1890 y Fi(\000)20 b Fl(y)2750 1904 y Fk(N)2816 1890 y Fi(j)33 b Fe(for)g Fl(i)26 b Fi(\024)f Fl(N)10 b Fe(.)523 2089 y Fm(T)-8 b(o)28 b(pro)m(v)m(e)g(the) g(prop)s(osition,)g(notice)h(the)f(condition)g(that)g(the)g(co)s(des)g (of)f Fn(x)h Fm(and)f Fn(y)382 2213 y Fm(agree)j(for)e Fl(i)e Fi(\024)e Fl(N)39 b Fm(guaran)m(tees)30 b(t)m(w)m(o)g(facts)f (that)g(\()p Fl(f)2138 2180 y Fk(N)7 b Fh(\000)p Fk(i)2128 2236 y(\026)2284 2213 y Fm(\))2319 2180 y Fh(0)2343 2213 y Fm(\()p Fl(z)t Fm(\))29 b(ha)m(v)m(e)h(the)e(same)h(sign)g(for)382 2337 y(all)34 b Fl(z)k Fm(lying)c(b)s(et)m(w)m(een)h Fl(x)1226 2351 y Fk(i)1287 2337 y Fm(and)e Fl(y)1512 2351 y Fk(i)1574 2337 y Fm(and)g(that)h Fi(j)p Fm(\()p Fl(f)2069 2304 y Fk(N)7 b Fh(\000)p Fk(i)2059 2360 y(\026)2215 2337 y Fm(\))2250 2304 y Fh(0)2274 2337 y Fm(\()p Fl(z)t Fm(\))p Fi(j)32 b Fl(>)e Fm(\(1)23 b(+)f Fl(C)7 b Fm(\))2851 2304 y Fk(N)g Fh(\000)p Fk(i)3031 2337 y Fm(for)33 b(some)382 2461 y Fl(C)40 b(>)33 b Fm(0.)56 b(The)35 b(reason)g(is)g(that)h(eac)m (h)h Fl(x)1757 2475 y Fk(i)1820 2461 y Fm(and)e Fl(y)2047 2475 y Fk(i)2110 2461 y Fm(are)g(con)m(tin)m(ued)h(resp)s(ectiv)m(ely)h (from)382 2586 y Fl(x)434 2541 y Fh(y)434 2613 y Fk(i)503 2586 y Fm(and)c Fl(y)731 2541 y Fh(y)728 2613 y Fk(i)766 2586 y Fm(,)i(but)e(these)h(con)m(tin)m(uations)h(cannot)f(cross)g(the) g(middle)f(p)s(oin)m(t)g Fl(x)e Fm(=)f(1)p Fl(=)p Fm(2.)382 2710 y(Then)g(b)m(y)h(in)m(v)m(oking)i(the)e(mean)g(v)-5 b(alue)32 b(theorem,)g(w)m(e)g(get)g Fi(j)p Fl(f)2495 2677 y Fk(N)7 b Fh(\000)p Fk(i)2485 2732 y(\026)2641 2710 y Fm(\()p Fl(x)2728 2724 y Fk(i)2757 2710 y Fm(\))21 b Fi(\000)f Fl(f)2959 2677 y Fk(N)7 b Fh(\000)p Fk(i)2949 2732 y(\026)3105 2710 y Fm(\()p Fl(y)3185 2724 y Fk(i)3213 2710 y Fm(\))p Fi(j)27 b Fl(>)382 2834 y Fm(\(1)21 b(+)f Fl(C)7 b Fm(\))681 2801 y Fk(N)g Fh(\000)p Fk(i)827 2834 y Fi(j)p Fl(x)904 2848 y Fk(i)952 2834 y Fi(\000)20 b Fl(y)1088 2848 y Fk(i)1116 2834 y Fi(j)31 b Fm(and)e(the)i(prop)s (osition)f(follo)m(ws.)523 2958 y(Ha)m(ving)g(the)f(prop)s(osition,)h (it)f(is)g(easy)h(to)g(deriv)m(e)f(the)g(lemma.)41 b(F)-8 b(or)30 b(instance,)g(w)m(e)382 3082 y(supp)s(ose)f(the)h(pro)s(duct)g (top)s(ology)h(is)g(induced)e(b)m(y)h(the)h(metric,)g(e.g.)42 b([21)q(],)1428 3334 y Fl(d)p Fm(\()p Fn(x)p Fl(;)15 b Fn(y)q Fm(\))27 b(=)1819 3248 y Fg(X)1828 3444 y Fk(i)p Fh(\025)p Fj(0)1975 3273 y Fi(j)p Fl(x)2052 3287 y Fk(i)2101 3273 y Fi(\000)20 b Fl(y)2237 3287 y Fk(i)2265 3273 y Fi(j)p 1975 3314 315 4 v 2096 3397 a Fm(3)2141 3371 y Fk(i)2300 3334 y Fl(;)382 3627 y Fm(then)30 b(the)h(prop)s(osition)f (implies)1173 3884 y Fl(d)p Fm(\()p Fn(x)p Fl(;)15 b Fn(y)q Fm(\))27 b Fl(<)1574 3823 y(\025)1627 3790 y Fh(\000)p Fk(N)7 b Fh(\000)p Fj(1)1860 3823 y Fi(\000)19 b Fm(3)1995 3790 y Fh(\000)p Fk(N)7 b Fh(\000)p Fj(1)p 1574 3863 635 4 v 1692 3947 a Fl(\025)1745 3920 y Fh(\000)p Fj(1)1860 3947 y Fi(\000)19 b Fm(3)1995 3920 y Fh(\000)p Fj(1)2238 3884 y Fm(+)2335 3798 y Fg(X)2329 3995 y Fk(i>N)2510 3823 y Fm(1)p 2496 3863 74 4 v 2496 3947 a(3)2541 3920 y Fk(i)382 4187 y Fm(but)30 b(w)m(e)g(already)h(presumed)e(that)i(1)p Fl(=)p Fm(3)1745 4154 y Fk(N)7 b Fj(+1)1929 4187 y Fi(\024)25 b Fl(d)p Fm(\()p Fn(x)2162 4154 y Fh(y)2199 4187 y Fl(;)15 b Fn(y)2295 4154 y Fh(y)2331 4187 y Fm(\))26 b Fi(\024)f Fm(1)p Fl(=)p Fm(\(2)d Fi(\001)e Fm(3)2770 4154 y Fk(N)2838 4187 y Fm(\).)523 4311 y(Theorem)40 b(2.4)h(indicates)g(that)f Fn(x)1723 4278 y Fh(\003)1763 4311 y Fm(\()p Fl(\017)p Fm(;)15 b Fn(x)1930 4278 y Fh(y)1966 4311 y Fm(\))40 b(dep)s(ends)f(con)m(tin)m(uously)i(on)e Fl(\017)h Fm(in)g Fl(l)3296 4325 y Fh(1)382 4435 y Fm(\(with)e(the)g(uniform)e(top)s (ology\))j(for)f(ev)m(ery)g Fn(x)2009 4402 y Fh(y)2045 4435 y Fm(,)i(therefore)e(also)h(dep)s(ends)c(con)m(tin)m(u-)382 4559 y(ously)40 b(on)g Fl(\017)g Fm(with)g(the)h(pro)s(duct)e(top)s (ology)j(since)e(the)h(latter)g(top)s(ology)h(is)e(w)m(eak)m(er)382 4684 y(then)29 b(the)h(former)f(one.)40 b(Hence)31 b(w)m(e)f(conclude)f (\003)2073 4698 y Fk(\026)2149 4684 y Fm(is)h(con)m(tin)m(uously)g(on)g Fl(\026)p Fm(.)40 b(W)-8 b(e)30 b(write)382 4808 y(do)m(wn)f(what)g(w)m (e)h(ha)m(v)m(e)h(pro)m(v)m(ed)e(in)h(this)f(section,)i(b)m(y)e (exploiting)i(the)f(an)m(ti-in)m(tegrable)382 4932 y(limit)h(of)g(the)f (logistic)j(maps.)382 5131 y Fn(Theorem)38 b(2.8.)43 b Fe(When)35 b Fl(\026)f Fe(varies)h(fr)-5 b(om)37 b Fm(2)22 b(+)2033 5056 y Fi(p)p 2109 5056 46 4 v 75 x Fm(5)35 b Fe(to)g(in\014nity,)h Fm(\003)2710 5145 y Fk(\026)2791 5131 y Fe(form)g(a)f(c)-5 b(ontin-)382 5255 y(uous)40 b(family)h(of)f(Cantor)i(sets.)64 b(F)-7 b(or)41 b(a)f(given)g Fl(\026)p Fe(,)h(the)g(r)-5 b(estriction)41 b(of)f Fl(f)2953 5269 y Fk(\026)3039 5255 y Fe(to)h Fm(\003)3219 5269 y Fk(\026)3306 5255 y Fe(is)382 5379 y(top)-5 b(olo)g(gic)g(al)5 b(ly)36 b(c)-5 b(onjugate)33 b(to)g(the)g(Bernoul)5 b(li)33 b(shift)h(with)f(two)h(symb)-5 b(ols.)1854 5652 y Fm(6)p eop end %%Page: 7 7 TeXDict begin 7 6 bop 523 548 a Fm(W)-8 b(e)32 b(\014nish)d(b)m(y)h (the)g(follo)m(wing)i(remarks.)382 747 y Fn(Remark)44 b(2.9.)i Fm(The)38 b(pro)s(ofs)f(of)h(theorem)h(2.4)g(and)e(prop)s (osition)h(2.7)h(rely)f(on)g(the)382 871 y(prop)s(ert)m(y)32 b(that)h Fi(j)p Fl(f)1035 838 y Fh(0)1025 894 y Fk(\026)1072 871 y Fm(\()p Fl(x)p Fm(\))p Fi(j)d Fl(>)f Fm(1)k(for)g(all)g Fl(x)d Fi(2)e Fl(f)1923 838 y Fh(\000)p Fj(1)1913 894 y Fk(\026)2017 871 y Fm(\([0)p Fl(;)15 b Fm(1]\))35 b(and)d Fl(\026)d(>)g Fm(2)23 b(+)2825 796 y Fi(p)p 2901 796 46 4 v 75 x Fm(5.)48 b(The)33 b(case)382 995 y(4)38 b Fl(<)f(\026)g Fi(\024)g Fm(2)25 b(+)939 920 y Fi(p)p 1015 920 V 75 x Fm(5)38 b(is)g(subtler)f(b)s(ecause)g(w)m(e)h(need)g(a) g(prop)s(ert)m(y)f(that)h(the)g(absolute)382 1119 y(v)-5 b(alues)30 b(of)f(the)h(deriv)-5 b(ativ)m(e)30 b(of)g Fl(f)1473 1133 y Fk(\026)1548 1119 y Fm(b)s(eing)f(less)h(than)f(or)g (equal)h(to)g(one)g(do)f(not)g(happ)s(en)382 1244 y(to)s(o)41 b(often.)73 b(By)41 b(virtue)g(of)g(the)g(compactness)g(of)g(\003)2271 1258 y Fk(\026)2318 1244 y Fm(,)j(it)d(w)m(ould)f(b)s(e)h(su\016cien)m (t)g(to)382 1368 y(obtain)28 b(the)g(desired)f(prop)s(ert)m(y)g(if)g(w) m(e)h(can)g(sho)m(w)f(that)h(for)g(ev)m(ery)g Fl(x)d Fi(2)g Fm(\003)2882 1382 y Fk(\026)2956 1368 y Fm(there)j(is)g(an)382 1492 y(in)m(teger)j Fl(N)755 1506 y Fk(x)824 1492 y Fi(\025)25 b Fm(1)30 b(suc)m(h)f(that)g Fi(j)p Fm(\()p Fl(f)1509 1459 y Fk(N)1565 1467 y Ff(x)1499 1515 y Fk(\026)1608 1492 y Fm(\))1643 1459 y Fh(0)1667 1492 y Fm(\()p Fl(x)p Fm(\))p Fi(j)d Fl(>)f Fm(1.)41 b(This)29 b(is)g(b)s(ecause)g(it)h(will) g(then)f(imply)382 1616 y(that)i(\003)642 1630 y Fk(\026)719 1616 y Fm(is)f(h)m(yp)s(erb)s(olic)g(and)g(vice)h(v)m(ersa)g([11)q(,)g (14)q(,)f(18)q(].)382 1815 y Fn(Remark)36 b(2.10.)43 b Fm(The)30 b(presen)m(ted)i(approac)m(h)f(can)g(b)s(e)g(easily)h (extended)f(to)h(the)f(em-)382 1939 y(b)s(edding)c(of)i(the)g (Bernoulli)g(shift)f(with)h Fl(K)23 b Fm(+)16 b(1)29 b(sym)m(b)s(ols)g(in)m(to)g Fl(K)7 b Fm(-mo)s(dal)29 b(maps)f(suc)m(h)382 2064 y(as)34 b Fl(f)542 2078 y Fk(\027)585 2064 y Fm(\()p Fl(x)p Fm(\))d(=)g Fl(\027)6 b(x)p Fm(\()p Fl(a)1026 2078 y Fj(1)1088 2064 y Fi(\000)22 b Fl(x)p Fm(\)\()p Fl(a)1351 2078 y Fj(2)1414 2064 y Fi(\000)g Fl(x)p Fm(\))15 b Fi(\001)g(\001)g(\001)i Fm(\()p Fl(a)1814 2078 y Fk(K)5 b Fh(\000)p Fj(1)1995 2064 y Fi(\000)22 b Fl(x)p Fm(\)\(1)i Fi(\000)e Fl(x)p Fm(\))34 b(for)g(su\016cien)m(tly) g(large)h Fl(\027)382 2188 y Fm(and)30 b(0)25 b Fl(<)g(a)773 2202 y Fj(1)838 2188 y Fl(<)g(a)982 2202 y Fj(2)1047 2188 y Fl(<)g Fi(\001)15 b(\001)g(\001)26 b Fl(<)f(a)1418 2202 y Fk(K)5 b Fh(\000)p Fj(1)1602 2188 y Fl(<)25 b Fm(1.)382 2489 y Ft(Ac)l(kno)l(wledgmen)l(ts)382 2703 y Fm(The)42 b(author)g(thanks)f(Bau-Sen)h(Du)g(for)g(reading)h(through) e(the)h(man)m(uscript)g(and)382 2828 y(giving)31 b(useful)f(commen)m (ts.)382 3129 y Ft(References)427 3343 y Fm([1])47 b(S.)39 b(Aubry)-8 b(,)42 b(`An)m(ti-in)m(tegrabilit)m(y)h(in)d(dynamical)g (and)f(v)-5 b(ariational)42 b(problems',)569 3467 y Fe(Physic)-5 b(a)33 b(D)d Fn(86)h Fm(\(1995\),)i(284-296.)427 3666 y([2])47 b(S.)21 b(Aubry)g(and)g(G.)h(Abramo)m(vici,)j(`Chaotic)e(tra)5 b(jectories)24 b(in)d(the)h(standard)f(map:)569 3791 y(the)30 b(concept)i(of)e(an)m(ti-in)m(tegrabilit)m(y',)35 b Fe(Physic)-5 b(a)33 b(D)d Fn(43)h Fm(\(1990\),)i(199-219.)427 3989 y([3])47 b(S.)37 b(Aubry)-8 b(,)38 b(R.S.)f(MacKa)m(y)i(and)e(C.)g (Baesens,)j(`Equiv)-5 b(alence)38 b(of)f(uniform)f(h)m(y-)569 4114 y(p)s(erb)s(olicit)m(y)49 b(for)g(symplectic)h(t)m(wist)g(maps)e (and)g(phonon)g(gap)h(for)g(F)-8 b(renk)m(el-)569 4238 y(Kon)m(toro)m(v)j(a)32 b(mo)s(dels',)f Fe(Physic)-5 b(a)33 b(D)d Fn(56)h Fm(\(1992\),)i(123-134.)427 4437 y([4])47 b(S.V.)d(Bolotin)i(S)e(and)f(R.S.)h(MacKa)m(y)-8 b(,)50 b(`Multibump)44 b(orbits)g(near)g(the)g(an)m(ti-)569 4561 y(in)m(tegrable)29 b(limit)g(for)f(Lagrangian)h(systems',)g Fe(Nonline)-5 b(arity)30 b Fn(10)e Fm(\(1997\),)k(1015-)569 4685 y(1029.)427 4884 y([5])47 b(Y.-C.)58 b(Chen,)65 b Fe(A)n(nti-inte)-5 b(gr)g(ability)58 b(in)g(L)-5 b(agr)g(angian)60 b(Systems)p Fm(,)67 b(PhD)57 b(thesis)569 5008 y(\(Cam)m(bridge)30 b(Univ.,)h(2002\).)427 5207 y([6])47 b(Y.-C.)25 b(Chen,)g(`Multibump)f (orbits)g(con)m(tin)m(ued)h(from)g(the)f(an)m(ti-in)m(tegrable)k(limit) 569 5331 y(for)i(Lagrangian)h(systems',)g Fe(R)-5 b(e)g(gul.)33 b(Chaotic)h(Dyn.)c Fn(8)h Fm(\(2003\),)i(243-257.)1854 5652 y(7)p eop end %%Page: 8 8 TeXDict begin 8 7 bop 427 548 a Fm([7])47 b(P)-8 b(.)22 b(Collet)h(and)e(J.-P)-8 b(.)23 b(Ec)m(kmann,)h Fe(Iter)-5 b(ate)g(d)26 b(maps)g(on)g(the)f(interval)g(as)g(dynamic)-5 b(al)569 672 y(systems)p Fm(,)31 b(Progress)g(in)f(Ph)m(ysics)g Fn(1)p Fm(,)h(\(Birkh\177)-45 b(auser,)31 b(1980\).)427 858 y([8])47 b(R.L.)25 b(Dev)-5 b(aney)d(,)28 b Fe(A)n(n)g(Intr)-5 b(o)g(duction)30 b(to)f(Chaotic)g(Dynamic)-5 b(al)29 b(Systems)p Fm(,)f(2nd)c(ed.,)569 982 y(\(Addison-W)-8 b(esley)g(,)32 b(1989\).)427 1168 y([9])47 b(R.W.)27 b(Easton,)g(J.D.)g(Meiss)g(and)e(G.)i(Rob)s(erts,)g(`Drift)f(b)m(y)g (coupling)h(to)f(an)g(an)m(ti-)569 1292 y(in)m(tegrable)32 b(limit',)f Fe(Physic)-5 b(a)34 b(D)c Fn(156)h Fm(\(2001\),)i(201-218.) 382 1478 y([10])47 b(M.J.)d(F)-8 b(eigen)m(baum,)49 b('Quan)m(titativ)m (e)e(univ)m(ersalit)m(y)f(for)d(a)i(class)g(of)f(nonlinear)569 1602 y(transformations',)31 b Fe(J.)h(Stat.)h(Phys.)e Fn(19)g Fm(\(1978\),)i(25-52.)382 1787 y([11])47 b(J.)39 b(Guc)m(k)m(enheimer,)k(`Sensitiv)m(e)d(dep)s(endence)f(to)h(initial)g (conditions)g(for)f(one-)569 1912 y(dimensional)30 b(maps',)h Fe(Comm.)i(Math.)g(Phys.)e Fn(70)g Fm(\(1979\),)i(133-160.)382 2097 y([12])47 b(J.)d(Guc)m(k)m(enheimer)i(and)e(P)-8 b(.)45 b(Holmes,)k Fe(Nonline)-5 b(ar)47 b(Oscil)5 b(lations,)49 b(Dynamic)-5 b(al)569 2222 y(Systems,)33 b(and)h(Bifur)-5 b(c)g(ations)34 b(of)f(V)-7 b(e)i(ctor)33 b(Fields)e Fm(\(Springer-V)-8 b(erlag,)32 b(1983\).)382 2407 y([13])47 b(D.)31 b(Gulic)m(k,)h Fe(Enc)-5 b(ounters)33 b(with)g(Chaos)f Fm(\(McGra)m(w-Hill,)i(1992\).)382 2593 y([14])47 b(R.L.)j(Kraft,)55 b(`Chaos,)h(Can)m(tor)50 b(sets,)56 b(and)50 b(h)m(yp)s(erb)s(olicit)m (y)g(for)g(the)g(logistic)569 2717 y(maps',)30 b Fe(A)n(mer.)i(Math.)h (Monthly)f Fn(106)f Fm(\(1999\),)i(400-408.)382 2903 y([15])47 b(O.E.)i(Lanford)f(I)s(I)s(I,)f(`In)m(tro)s(duction)i(to)h(h) m(yp)s(erb)s(olic)e(sets',)54 b(in)49 b Fe(R)-5 b(e)g(gular)51 b(and)569 3027 y(Chaotic)40 b(Motions)f(in)g(Dynamic)-5 b(al)40 b(Systems)d Fm(\(1985\),)42 b(NA)-8 b(TO)37 b(ASI)f(Series)h Fn(B)p Fm(.)569 3151 y(V)-8 b(ol.)32 b Fn(118)f Fm(\(Plen)m(um)f (Press\),)h Fn(pp.)f Fm(73-102.)382 3337 y([16])47 b(R.S.)38 b(MacKa)m(y)i(and)e(J.D.)h(Meiss,)j(`Can)m(tori)d(for)f(symplectic)i (maps)e(near)g(the)569 3461 y(an)m(ti-in)m(tegrable)33 b(limit',)f Fe(Nonline)-5 b(arity)32 b Fn(5)e Fm(\(1992\),)j(149-160.) 382 3647 y([17])47 b(R.M.)23 b(Ma)m(y)-8 b(,)25 b(`Simple)d (mathematical)j(mo)s(dels)d(with)g(v)m(ery)g(complicated)i(dynam-)569 3771 y(ics',)31 b Fe(Natur)-5 b(e)31 b Fn(261)g Fm(\(1976\),)i (459-467.)382 3957 y([18])47 b(W.)35 b(de)f(Melo)i(and)e(S.)h(v)-5 b(an)34 b(Strien,)i Fe(One-dimensional)h(Dynamics)e Fm(\(Springer-)569 4081 y(V)-8 b(erlag,)32 b(1993\).)382 4267 y([19])47 b(K.J.)33 b(P)m(almer,)i Fe(Shadowing)i(in)e(Dynamic)-5 b(al)36 b(Systems)g(-)f(The)-5 b(ory)37 b(and)f(Applic)-5 b(a-)569 4391 y(tions)31 b Fm(\(Klu)m(w)m(er)g(Academic)g(Pub.,)f (2000\).)382 4576 y([20])47 b(C.)34 b(Robinson,)h Fe(Dynamic)-5 b(al)37 b(Systems)g(-)e(Stability,)j(Symb)-5 b(olic)37 b(Dynamics,)h(and)569 4701 y(Chaos)32 b Fm(\(CR)m(C)e(Press,)g(1995\).) 382 4886 y([21])47 b(S.)30 b(Wiggins,)h Fe(Intr)-5 b(o)g(duction)35 b(to)e(Applie)-5 b(d)34 b(Nonline)-5 b(ar)34 b(Dynamic)-5 b(al)33 b(Systems)h(and)569 5011 y(Chaos)e Fm(\(Springer-V)-8 b(erlag,)32 b(1990\).)382 5196 y([22])47 b(S.)41 b(Zeller)h(and)f(M.)i (Thaler,)h(`Almost)f(sure)e(escap)s(e)h(from)f(the)h(unit)f(in)m(terv) -5 b(al)569 5320 y(under)29 b(the)h(logistic)j(map',)d Fe(A)n(mer.)i(Math.)h(Monthly)f Fn(108)p Fm(\(2001\),)i(155-158.)1854 5652 y(8)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ---------------0404090848703--