Content-Type: multipart/mixed; boundary="-------------0112042138881" This is a multi-part message in MIME format. ---------------0112042138881 Content-Type: text/plain; name="01-448.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="01-448.keywords" the central limit theorem, quantum spin chain, the one-dimensionl XY model ---------------0112042138881 Content-Type: application/postscript; name="XYCLT.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="XYCLT.ps" %!PS-Adobe-2.0 %%Creator: dvi2ps %%Title: XYCLT.dvi %%Pages: (atend) %%BoundingBox: 0 0 595 842 %%DocumentPaperSizes: A4 %%Orientation: Portrait %%EndComments %%BeginFile: /usr/local/lib/dvi2ps/dvi2.ps % /TeXDict 300 dict def TeXDict begin /inch { 72 mul } bind def /largepaperarray [ /letter /legal /11x17 /b4 /b5 /a5 /a4 /a3 ] def /smallpaperarray [ /note dup where { pop }{ pop /lettersmall dup where { pop }{ pop /letter } ifelse } ifelse /legal /11x17 /b4 /b5 /a5 /a4small dup where { pop }{ pop /note dup where { pop }{ pop /a4 } ifelse } ifelse /a3 ] def /setpaper { papertray { dup where { exch get exec }{ pop } ifelse }{ pop } ifelse } bind def /trayarray [ /lettertray /legaltray /11x17tray /b4tray /b5tray /a5tray /a4tray /a3tray ] def /settray { dup statusdict exch known manualfeed not and { mark exch statusdict begin load { exec } stopped { $error /newerror get { $error /errorname get /rangecheck eq { (Tray not found, using default tray.\n) print flush TeXDict /papertray false put }{ handleerror } ifelse $error /newerror false put } if } if end cleartomark }{ pop } ifelse } bind def /papertray true def /widtharray [ 8.5 inch 8.5 inch 11 inch 9.84 inch 6.93 inch 5.83 inch 8.27 inch 11.69 inch ] def /heightarray [ 11 inch 14 inch 17 inch 13.9 inch 9.84 inch 8.27 inch 11.69 inch 16.54 inch ] def /xoffset 0 def /yoffset 0 def /leftm 72 def /topm 72 def /landscape false def /manualfeed false def /pagesetup { dup widtharray exch get /paperwidth exch def dup heightarray exch get /paperheight exch def dup trayarray exch get settray large {largepaperarray}{smallpaperarray} ifelse exch get setpaper } bind def /@letter {0 pagesetup} def /@legal {1 pagesetup} def /@tabloid {2 pagesetup} def /@b4 {3 pagesetup} def /@b5 {4 pagesetup} def /@a5 {5 pagesetup} def /@a4 {6 pagesetup} def /@a3 {7 pagesetup} def /@landscape {/landscape true def} bind def /@manualfeed { /manualfeed true def statusdict /manualfeed known { statusdict /manualfeed true put statusdict /manualfeedtimeout 120 put } if } bind def /@large { /large true def } bind def /@small { /large false def } bind def /@envelope { /xoffset 4.28 inch def /yoffset 1.5 inch def @letter } bind def /COPIES { /#copies exch def } bind def /NF { /newname exch def /fsize exch def /corr exch def newname 7 dict def newname load begin /FontType 3 def /FontMatrix [corr 0 0 corr neg 0 0] def /FontBBox [0 0 1 1] def /BitMaps fsize array def /BuildChar /CharBuilder load def /Encoding 256 array def 0 1 255 {Encoding exch /.notdef put} for end newname newname load definefont pop } bind def /ch-image {ch-data 0 get} bind def /ch-width {ch-data 1 get} bind def /ch-height {ch-data 2 get} bind def /ch-xoff {ch-data 3 get} bind def /ch-yoff {ch-data 4 get} bind def /ch-tfmw {ch-data 5 get} bind def /CharBuilder { /ch-code exch def /font-dict exch def /ch-data font-dict /BitMaps get ch-code get def ch-data null eq not { ch-tfmw 0 ch-xoff neg ch-yoff neg ch-width ch-xoff sub ch-height ch-yoff sub setcachedevice ch-width ch-height true [1 0 0 1 ch-xoff ch-yoff] {ch-image} imagemask } if } bind def /BFT { /bf-v exch def /bf-h exch def findfont [bf-h 0 0 bf-v 0 0] makefont def } bind def /BFE /BFT load def /BFF { /bf-v exch def /bf-h exch def /savecurfont currentfont def findfont dup setfont 3 -1 roll /bf-stand exch def [ bf-stand stringwidth pop dup bf-h exch div exch bf-v exch div 0 0 3 -1 roll 0 0 ] makefont def savecurfont setfont } bind def /SF /setfont load def /s3 3 string def /D { /ch-code exch def /ch-data exch def currentfont /BitMaps get ch-code ch-data put currentfont /Encoding get ch-code dup s3 cvs cvn put } bind def /BP { userdict /bop-hook known { bop-hook } if /SaveImage save def xoffset yoffset translate leftm topm landscape { exch translate 90 rotate }{ paperheight exch sub translate } ifelse 72 Resolution div dup neg scale 0 0 moveto } bind def /EP { showpage SaveImage restore userdict /eop-hook known { eop-hook } if } bind def /START { userdict /start-hook known { start-hook } if /DVImag exch def /magscale true def /Resolution exch def } bind def /END { end userdict /end-hook known { end-hook } if } bind def /l /lineto load def /p /moveto load def /r { 0 rmoveto } def /s /show load def /ru { /dy exch neg def /dx exch def /x currentpoint /y exch def def newpath x y moveto dx 0 rlineto 0 dy rlineto dx neg 0 rlineto closepath fill x y moveto } bind def /TeXscale { 65781.76 div } def /DocumentInitState [ matrix currentmatrix currentlinewidth currentlinecap currentlinejoin currentdash currentgray currentmiterlimit ] cvx def /startTexFig { /SavedState save def userdict maxlength dict begin currentpoint transform DocumentInitState setmiterlimit setgray setdash setlinejoin setlinecap setlinewidth setmatrix itransform moveto magscale { DVImag dup scale } if /ury exch TeXscale def /urx exch TeXscale def /lly exch TeXscale def /llx exch TeXscale def /y exch TeXscale def /x exch TeXscale def currentpoint /cy exch def /cx exch def /sx x urx llx sub div def /sy y ury lly sub div def sx sy scale cx sx div llx sub cy sy div ury sub translate /DefFigCTM matrix currentmatrix def /initmatrix { DefFigCTM setmatrix } def /defaultmatrix { DefFigCTM exch copy } def /initgraphics { DocumentInitState setmiterlimit setgray setdash setlinejoin setlinecap setlinewidth setmatrix DefFigCTM setmatrix } def /showpage {} def /erasepage {} def /copypage {} def } def /clipFig { currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll exch lineto exch lineto exch lineto closepath clip newpath moveto } def /doclip { llx lly urx ury clipFig } def /endTexFig { end SavedState restore } def /@SpecialDefaults { /hsi paperwidth inch def /vsi paperheight inch def /hof 0 def /vof 0 def /hsc 1 def /vsc 1 def /rotat 0 def /CLIP false def /BBOX false def /EPSF false def /ECL false def } bind def /@ecl {/ECL true def} bind def /@clip {/CLIP true def} bind def /@hsize {/hsi exch def @clip} bind def /@vsize {/vsi exch def @clip} bind def /@hoffset {/hof exch def} bind def /@voffset {/vof exch def} bind def /@scaleunit 1 def /@hscale {@scaleunit div /hsc exch def} bind def /@vscale {@scaleunit div /vsc exch def} bind def /@rotation {/rotat exch def} bind def /@angle /@rotation load def /@rwi {10 div /hsi exch def} bind def /@rhi {10 div /vsi exch def} bind def /@llx {/llx exch def /BBOX true def /hsi 0 def /vsi 0 def} bind def /@lly {/lly exch def} bind def /@urx {/urx exch def} bind def /@ury {/ury exch def} bind def /@bbox {{@clip}if @ury @urx @lly @llx} bind def /@setclipper { CLIP { newpath 0 0 moveto hsi 0 rlineto 0 vsi rlineto hsi neg 0 rlineto closepath clip } if } bind def /@beginspecial { /SpecialSave save def /dict_count countdictstack def /op_count count 1 sub def currentpoint transform initgraphics itransform translate magscale { DVImag dup scale } if landscape {90 rotate} if @SpecialDefaults @MacSetUp } bind def /@setspecial { hof vof translate BBOX { rotat rotate hsi 0 eq { vsi 0 eq { hsc vsc }{ vsi ury lly sub div dup }ifelse }{ vsi 0 eq { hsi urx llx sub div dup }{ hsi urx llx sub div vsi ury lly sub div } ifelse } ifelse scale llx neg ECL{ury}{lly}ifelse neg translate CLIP { newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip } if newpath }{ @setclipper hsc vsc scale rotat rotate } ifelse /CTM matrix currentmatrix def end /letter {} def /note {} def /legal {} def /11x17 {} def /b4 {} def /b5 {} def /a5 {} def /a4 {} def /a4small {} def /a3 {} def /showpage {} def /copypage {} def /erasepage {} def /initmatrix {TeXDict /CTM get setmatrix} bind def /defaultmatrix {TeXDict /CTM get exch copy} bind def /*initclip /initclip load def /initclip { TeXDict begin *initclip matrix currentmatrix CTM setmatrix newpath BBOX { llx lly moveto urx lly lineto urx ury lineto llx ury lineto }{ 0 0 moveto hsi 0 rlineto 0 vsi rlineto hsi neg 0 rlineto } ifelse closepath clip setmatrix end } bind def /initgraphics { initmatrix newpath initclip 1 setlinewidth 0 setlinecap 0 setlinejoin [] 0 setdash 0 setgray 10 setmiterlimit } bind def /languagelevel where { pop languagelevel 1 ne { false setstrokeadjust false setoverprint } if } if } bind def /@MacSetUp { userdict /md known { userdict /md get type /dicttype eq { md /txpose known { md /txpose {pxs pys neg scale} put } if md /cp known { md /cp {pop pop pm restore} put } if } if } if } bind def /@push { gsave currentpoint translate dup scale newpath } bind def /@pop { grestore } bind def /@ar { matrix currentmatrix 7 -2 roll moveto currentpoint translate newpath 5 -2 roll scale 0 0 1 6 -2 roll arc setmatrix } bind def /@RGB /setrgbcolor load def /@HSB /sethsbcolor load def /@CMYK /setcmykcolor dup where { pop load }{ pop { 1 sub 4 1 roll 3 { 3 index add neg dup 0 lt {pop 0} if 3 1 roll } repeat setrgbcolor pop } bind } ifelse def /normalscale { Resolution 72 div Resolution 72 div neg scale magscale { DVImag dup scale } if 0 setgray } def end /@endspecial { TeXDict begin count op_count sub {pop} repeat countdictstack dict_count sub {end} repeat SpecialSave restore } bind def /SDict TeXDict def %%EndFile %%BeginFile: /usr/local/lib/dvi2ps/fonts/ascfix-c.ps % This file is included in this dvi2ps (j-version) kit by the courtesy of % Matsushita Electric Industrial Co., Ltd. You are free to distribute this % file as a part of this dvi2ps kit, but if you use this file as a part of % your own program and want to re-distribute the program, you should contact % miyabe@isl.mei.co.jp, kakiuchi@isl.mei.co.jp % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% Following procedures are used to define new japanese font which has %%% correct metrics. %%% Added by T.Kakiuchi (kakiuchi@sy6.isl.mei.co.JP) 89/5/19 %%% Copyright (c) Matsushita Electric Industrial Co.,Ltd. 1990 %%% % If the packed-array facility is available, this program sets the % array-packing mode. %systemdict /setpacking known { % /savepacking currentpacking def % true setpacking %} if TeXDict begin % Procedure to make a new font which has new metrics. /Set-New-Metrics % [New-FNam][FNam][Metrics-array] {/Set-Metrics exch def % [New-FNam][FNam] Set-Metrix=[Metrix-Array] findfont % [New-FNam][FDic] /OrigCompFont exch def % [New-FNam] OrigCompFont=[FDic] /NewCompFontName exch def % NewCompFontName=[New-FNam] % Create new composite font. OrigCompFont dup % [FDic][FDic] length dict % [FDic][dict] /NewCompFont exch def % [FDic] NewCompFont=[dict] {1 index % [FDic][key][value][key] /FID ne % [FDic][key][value][T/F] 2 index /UniqueID ne and % [FDic][key][value][T/F] {NewCompFont 3 1 roll put} % if TRUE NewCompFont <- {key,value} {pop pop} ifelse } forall OrigCompFont /FDepVector get % [FDepVector] dup length array % [FDepVector][array] copy % [array] (=[FDepVector]) /NewFDepVector exch def % NewFDepVector=[arrray] NewCompFont /FDepVector NewFDepVector put % [NewCompFont] <- {/FDepVector, NewFDepVector} NewCompFont /FontName NewCompFontName put % [NewCompFont] <- {/FontName, NewCompFontName} Set-Metrics % [code,NewBaseFontName,Metrics-Array] {dup 0 get /Code exch def % set Code dup 1 get /NewBaseFontName exch def % set NewBaseFontName 2 get /Metric-Array exch def % set Metrics-Array % Extract base font and its index to FDepVector. /Index OrigCompFont /Encoding get Code get def /OrigBaseFont NewFDepVector Index get def % Set Metric-Dictionary Metric-Array length dict /Metric-Dict exch def Metric-Dict begin Metric-Array {exec def} forall end % Create new base font. OrigBaseFont dup % [OrgFont][OrgFont] length 2 add % [OrgFont][2+current size] dict % [OrgFont][dict] /NewBaseFont exch def % [OrgFont] /NewBaseFont=[dict] {1 index % [OrgFont][key][value][key] /FID ne % [OrgFont][key][value][T/F] 2 index /UniqueID ne and % [OrgFont][key][value][T/F] {NewBaseFont % [OrgFont][key][value][NewBaseFont] 3 1 roll % [OrgFont][NewBaseFont][key][value] put} % [OrgFont] {pop pop} ifelse } forall NewBaseFont /Kusumi-Metrics Metric-Dict put NewBaseFont % [OrgFont][NewBaseFont] /CDevProc {currentfont /Kusumi-Metrics get exch 2 copy known {get % w0x w0y llx lly urx ury w1x w1y vx vy new-llx dup % w0x w0y llx lly urx ury w1x w1y vx vy new-llx new-llx 8 -1 roll % w0x w0y llx lly ury w1x w1y vx vy new-llx new-llx urx 10 -1 roll % w0x w0y lly ury w1x w1y vx vy new-llx new-llx urx llx sub add % w0x w0y lly ury w1x w1y vx vy new-llx new-urx 7 1 roll % w0x w0y lly new-urx ury w1x w1y vx vy new-llx 8 1 roll % w0x w0y new-llx lly new-urx ury w1x w1y vx vy } {pop pop} ifelse } bind put % Regist to FDepVector NewFDepVector Index NewBaseFontName NewBaseFont definefont put } forall NewCompFontName NewCompFont definefont pop % Define [NewCompFont] as [NewCompFontName] } bind def % Definition of new metrics for /Ryumin-Light-H /Ryumin-Metrics [ [33/Ryumin-Light-H-33[ {/c2B 56.3327 } {/c78 36.5515 } {/c22 127.507 } {/c54 52.5065 } {/c4B 137.007 } {/c39 35.7169 } {/c27 105.323 } {/c42 79.8026 } {/c30 106.905 } {/c6B 129.961 } {/c50 192.016 } {/c47 101.333 } {/c59 104.456 } {/c35 124.507 } {/c3E 51.8327 } {/c2C 81.7527 } {/c23 102.007 } {/c4E 132.007 } {/c2A 111.833 } {/c43 153.333 } {/c55 52.5065 } {/c4A 137.007 } {/c26 106.333 } {/c51 192.017 } {/c2D 73.195 } {/c46 101.833 } {/c58 104.457 } {/c6A 53.6868 } {/c71 162.717 } {/c68 12.747 } {/c56 87.0065 } {/c4D 120.007 } {/c29 50.4616 } {/c52 99.5065 } {/c5B 122.007 } {/c37 145.717 } {/c6D 73.5612 } {/c49 95.824 } {/c2E 73.1949 } {/c72 45.6719 } {/c25 106.833 } {/c69 33.1968 } {/c70 147.722 } {/c57 87.0065 } {/c33 123.507 } {/c53 99.5065 } {/c28 101.333 } {/c4C 120.007 } {/c2F 86.4865 } {/c48 95.6039 } {/c5A 122.007 } {/c6C 154.132 } {/c36 154.717 } {/c24 103.833 } {/c4F 131.507 } ]] [36/Ryumin-Light-H-36[ {/c30 154.133 } {/c27 97.2168 } {/c39 76.6303 } {/c23 76.1769 } {/c67 149.762 } {/c43 67.7751 } {/c6E 77.4092 } {/c31 105.385 } {/c63 75.9087 } {/c26 241.525 } {/c6A 273.126 } {/c29 82.2642 } {/c32 65.1122 } {/c25 184.155 } {/c21 83.9483 } {/c65 90.2671 } {/c3A 51.3751 } {/c2F 295.128 } ]] [37/Ryumin-Light-H-37[ {/c22 140.608 } {/c6F 163.078 } {/c30 99.7332 } {/c27 57.7171 } {/c42 59.748 } {/c47 67.1082 } {/c35 83.0882 } {/c3E 72.1387 } {/c23 138.672 } {/c67 152.293 } {/c4E 197.608 } {/c2A 134.608 } {/c43 117.717 } {/c6E 126.697 } {/c31 115.108 } {/c55 168.068 } {/c63 80.217 } {/c4A 116.233 } {/c26 162.618 } {/c75 124.712 } {/c3F 192.108 } {/c46 123.608 } {/c6A 239.098 } {/c5F 258.608 } {/c44 162.608 } {/c56 84.1834 } {/c29 108.717 } {/c76 83.6869 } {/c32 61.9606 } {/c64 109.108 } {/c49 202.688 } {/c25 122.757 } {/c72 193.323 } {/c40 110.209 } {/c69 178.108 } {/c45 91.8148 } {/c57 89.1683 } {/c21 107.237 } {/c65 49.507 } {/c2F 187.108 } {/c41 97.8211 } {/c48 277.108 } {/c36 51.291 } {/c61 191.608 } {/c24 186.108 } {/c3D 164.236 } ]] ] def % Definition of new metrics for /GothicBBB-Medium-H /Gothic-Metrics [ [33/GothicBBB-Medium-H-33[ {/c2B 62.8327 } {/c78 11.5265 } {/c22 129.507 } {/c54 58.5065 } {/c4B 136.007 } {/c39 14.7171 } {/c27 104.333 } {/c42 76.8826 } {/c30 110.507 } {/c6B 138.987 } {/c50 178.072 } {/c47 104.833 } {/c59 107.036 } {/c35 67.0065 } {/c3E -13.1673 } {/c2C 78.8429 } {/c23 98.9866 } {/c4E 132.507 } {/c2A 132.288 } {/c43 149.333 } {/c55 58.5065 } {/c4A 136.007 } {/c26 102.833 } {/c51 177.982 } {/c2D 55.8326 } {/c46 104.333 } {/c58 107.037 } {/c6A 43.6568 } {/c71 130.717 } {/c68 5.70184 } {/c56 93.5065 } {/c4D 120.007 } {/c29 81.9568 } {/c52 97.5065 } {/c5B 121.007 } {/c37 148.717 } {/c6D 75.5065 } {/c49 56.9765 } {/c2E 55.8327 } {/c72 101.717 } {/c25 102.833 } {/c69 20.1768 } {/c70 109.182 } {/c57 94.0065 } {/c33 76.5065 } {/c53 97.5065 } {/c28 104.333 } {/c4C 120.007 } {/c2F 102.506 } {/c48 56.0265 } {/c5A 121.007 } {/c6C 157.007 } {/c36 133.717 } {/c24 105.833 } {/c4F 132.507 } ]] [36/GothicBBB-Medium-H-36[ {/c30 154.608 } {/c27 97.2418 } {/c39 93.5732 } {/c23 58.2168 } {/c67 106.287 } {/c43 51.2172 } {/c6E 71.752 } {/c31 128.098 } {/c63 52.2169 } {/c26 207.583 } {/c6A 211.098 } {/c29 51.7468 } {/c32 69.0981 } {/c25 155.272 } {/c21 86.707 } {/c65 84.167 } {/c3A 70.6131 } {/c2F 256.108 } ]] [37/GothicBBB-Medium-H-37[ {/c22 82.6082 } {/c6F 135.608 } {/c30 91.1081 } {/c27 74.2168 } {/c42 55.1081 } {/c47 49.6081 } {/c35 87.1181 } {/c3E 83.6081 } {/c23 102.766 } {/c67 113.717 } {/c4E 163.334 } {/c2A 111.608 } {/c43 84.5454 } {/c6E 96.2168 } {/c31 77.6081 } {/c55 140.608 } {/c63 67.7169 } {/c4A 75.6082 } {/c26 149.118 } {/c75 110.257 } {/c3F 144.608 } {/c46 96.6082 } {/c6A 225.578 } {/c5F 215.108 } {/c44 117.481 } {/c56 91.1081 } {/c29 72.2168 } {/c76 63.2168 } {/c32 48.6081 } {/c64 96.6081 } {/c49 209.108 } {/c25 104.207 } {/c72 165.608 } {/c40 76.6081 } {/c69 129.108 } {/c45 72.1081 } {/c57 64.6481 } {/c21 47.2171 } {/c65 41.7168 } {/c2F 135.608 } {/c41 97.6082 } {/c48 262.608 } {/c36 52.1181 } {/c61 188.976 } {/c24 148.446 } {/c3D 123.059 } ]] ] def end % TeXDict %systemdict /setpacking known { % savepacking setpacking %} if %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%EndFile %%EndProlog %%BeginSetup %%PaperSize: A4 %%Feature: *ManualFeed False %%Feature: *Resolution 400 TeXDict begin @large @a4 1.000 94 /f0 NF f0 SF [ 24 23 -1 0 27.611] 3 D [ 16 21 -3 0 20.293] 49 D [ 16 21 -2 0 20.293] 50 D [<00800100020004000C001800180030003000600060006000E000E000E000E000E000E000E000E000E000E000600060006000 30003000180018000C000400020001000080> 16 34 -3 9 15.989] 40 D [<800040002000100018000C000C00060006000300030003000380038003800380038003800380038003800380030003000300 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(H)s f8 SF 5 r (\()s f9 SF (\022)s f5 SF 1425 878 p (\000)s f9 SF 1464 868 p (E)s 4 r (\022)s f5 SF 1546 878 p (\000)s f9 SF 1586 868 p (=E)s f8 SF 4 r (\)\()s f10 SF (j)s f9 SF (X)s f10 SF 5 r (j)s f8 SF 15 r (+)s 14 r (1\))s f4 SF 1955 841 p (m)s f10 SF 1999 868 p (k)s f4 SF 2032 888 p (T)s 7 r (r)s f8 SF 0 1023 p (,)s 22 r (whic)s -1 r (h)s 21 r (sho)s -1 r (ws)s 20 r (the)s 22 r (inequalit)s -1 r (y)s 21 r (\(4.21\))s 22 r (.)s f11 SF 0 1103 p (End)s 23 r (of)s 23 r (Pr)s -2 r (o)s -3 r (of.)s f8 SF 1235 3802 p (25)s EP %%Page: 26 26 BP f14 SF 0 82 p (References)s f8 SF 33 228 p ([1])s 32 r (Araki,H.)s f11 SF 27 r (Gibbs)s 29 r (states)s 28 r (of)s 29 r (the)s 28 r (one-dimensional)s 29 r (quantum)s 28 r (spin)s 28 r (chain)s f8 SF 28 r (Comm)s -1 r (un.)s 26 r (Math.)s 134 309 p (Ph)s -1 r (ys.)s f12 SF 21 r (115)s f8 SF (,477-528)s 21 r (\(1968\).)s 33 444 p ([2])s 32 r (Araki,H.)s f11 SF 19 r (On)s 20 r (quasifr)s -2 r (e)s -4 r (e)s 20 r (states)s 20 r (of)s f8 SF 20 r (CAR)s f11 SF 21 r (and)s 20 r (Bo)s -2 r (goliub)s -4 r (ov)s 20 r (automorphisms.)s f8 SF 18 r (Publ.)s 19 r (Res.)s 18 r (Inst.)s 134 524 p (Math.)s 21 r (Sci.)s f12 SF 22 r (6)s f8 SF 22 r (385-442,)s 21 r (\(1970/71\))s 33 660 p ([3])s 32 r (Araki,H.)s f11 SF 25 r (Bo)s -2 r (goliub)s -4 r (ov)s 26 r (automorphisms)s 26 r (and)s 26 r (F)s -4 r (o)s -3 r (ck)s 25 r (r)s -2 r (epr)s -4 r (esentations)s 26 r (of)s 26 r (c)s -2 r (anonic)s -4 r (al)s 26 r (antic)s -3 r (om-)s 134 740 p (mutation)s 22 r (r)s -3 r (elations.)s f8 SF 20 r (in)s 20 r (Op)s 2 r (erator)s 20 r (algebras)s 20 r (and)s 20 r (mathematical)s 21 r (ph)s -1 r (ysics)s 19 r (\(Io)s -1 r (w)s -1 r (a)s 19 r (Cit)s -1 r (y)s -5 r (,)s 19 r (Io)s -1 r (w)s -1 r (a,)s 134 820 p (1985\),)s 21 r (23-141,)s 22 r (Con)s -1 r (temp.)s 21 r (Math.,)s 22 r (62,)s 21 r (Amer.)s 22 r (Math.)s 22 r (So)s 1 r (c.,)s 22 r (Pro)s -1 r (vidence,)s 21 r (RI,)s 22 r (1987.)s 33 956 p ([4])s 32 r (Araki,H.)s f11 SF 19 r (On)s 20 r (the)s f9 SF 21 r (X)s 5 r (Y)s f11 SF 15 r (-mo)s -3 r (del)s 20 r (on)s 20 r (two-side)s -2 r (d)s 20 r (in\014nite)s 20 r (chain.)s f8 SF 19 r (Publ.)s 19 r (Res.)s 18 r (Inst.)s 19 r (Math.)s 19 r (Sci.)s f12 SF (20)s f8 SF 134 1036 p (\(1984\),)s 21 r (no.)s 22 r (2,)s 22 r (277-296)s 21 r (\(1984\).)s 33 1172 p ([5])s 32 r (Araki,H.,)s 24 r (Matsui,T)s -4 r (aku.)s f11 SF 23 r (Gr)s -3 r (ound)s 24 r (states)s 25 r (of)s 26 r (the)s f9 SF 25 r (X)s 5 r (Y)s f11 SF 14 r (-mo)s -2 r (del.)s f8 SF 23 r (Comm.)s 23 r (Math.)s 24 r (Ph)s -1 r (ys.)s f12 SF 23 r (101)s f8 SF 27 r (,)s 134 1252 p (no.)s 21 r (2,)s 22 r (213{245\(1985\).)s 33 1388 p ([6])s 32 r (Bolthauzen,)s 37 r (E.)s f11 SF 33 r (On)s 34 r (the)s 34 r (c)s -2 r (entr)s -3 r (al)s 33 r (limit)s 34 r (the)s -2 r (or)s -4 r (em)s 33 r (for)s 35 r (stationary)s 34 r (mixing)s 34 r (r)s -3 r (andom)s 34 r (\014elds)s f8 SF 134 1468 p (Ann.Prob.)s f12 SF (4)s f8 SF (,)s 21 r (1047-1050)s 22 r (,)s 22 r (1982.)s 33 1604 p ([7])s 32 r (Bratteli,)s 20 r (O.,)s 19 r (Robinson,D.)s f11 SF (Op)s -2 r (er)s -3 r (ator)s 19 r (algebr)s -2 r (as)s 20 r (and)s 21 r (quantum)s 21 r (statistic)s -3 r (al)s 20 r (me)s -2 r (chanics)s 20 r (I)s f8 SF 19 r (,)s 19 r (2nd)s 134 1684 p (edition)s 21 r (\(Springer,)s 22 r (1987\).)s 33 1819 p ([8])s 32 r (Bratteli,)s 17 r (O.,)s 18 r (Robinson,D.)s f11 SF (Op)s -2 r (er)s -4 r (ator)s 18 r (algebr)s -3 r (as)s 18 r (and)s 18 r (quantum)s 18 r (statistic)s -2 r (al)s 17 r (me)s -2 r (chanics)s 17 r (II)s f8 SF 17 r (,)s 16 r (2nd)s 134 1900 p (edition)s 21 r (\(Springer,)s 22 r (1997\).)s 33 2035 p ([9])s 32 r (Georgii,H.O.)s f11 SF 18 r (Gibbs)s 19 r (me)s -2 r (asur)s -4 r (es)s 19 r (and)s 19 r (phase)s 20 r (tr)s -2 r (ansitions.)s f8 SF 16 r (de)s 18 r (Gruyter)s 17 r (Studies)s 18 r (in)s 17 r (Mathemat-)s 134 2116 p (ics,)s f12 SF 21 r (9.)s f8 SF 22 r (W)s -4 r (alter)s 20 r (de)s 22 r (Gruyter.,)s 22 r (Berlin,)s 21 r (1988.)s 0 2251 p ([10])s 33 r (Go)s 1 r (deris)s 22 r (D.,)s 21 r (V)s -4 r (erb)s 1 r (eure)s 21 r (A.,)s 22 r (V)s -4 r (ets,P)s -6 r (.)s f11 SF 21 r (Nonc)s -3 r (ommutative)s 23 r (c)s -3 r (entr)s -3 r (al)s 22 r (limits.)s f8 SF 45 r (Prob.)s 21 r (Th.)s 22 r (Related)s 134 2331 p (Fields)s f12 SF 21 r (82)s f8 SF (,)s 22 r (527-544.\(1989\).)s 0 2467 p ([11])s 33 r (Go)s 1 r (deris)s 20 r (D.,)s 21 r (V)s -5 r (ets,P)s -5 r (.)s f11 SF 19 r (Centr)s -3 r (al)s 21 r (limit)s 22 r (the)s -2 r (or)s -4 r (em)s 21 r (for)s 22 r (mixing)s 21 r (quantum)s 22 r (systems)s 22 r (and)s 21 r (the)s 22 r (CCR-)s 134 2547 p (algebr)s -3 r (a)s 23 r (of)s 23 r (\015uctuations.)s f8 SF 45 r (Comm)s -1 r (un.)s 21 r (Math.)s 21 r (Phys.)s f12 SF 20 r (122)s f8 SF 25 r (,)s 22 r (249-265.\(1989\).)s 0 2683 p ([12])s 33 r (Golo)s 1 r (dets)s 26 r (V.,)s 27 r (Nesh)s -1 r (v)s -2 r (ey)s -1 r (ev)s 24 r (S.V,)s f11 SF 26 r (Gibbs)s 27 r (states)s 27 r (for)s 27 r (AF-algebr)s -2 r (as)s f8 SF 52 r (J.Math.Ph)s -1 r (ys.)s f12 SF 25 r (39)s f8 SF 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r (oint)s 22 r (\014elds)s 24 r (asso)s -3 r (ciate)s -3 r (d)s 23 r (with)s 23 r (c)s -2 r (ertain)s 22 r (F)s -4 r (r)s -3 r (e)s -3 r (dholm)s 22 r (deter-)s 134 367 p (minants)s 26 r (I:)s 27 r (fermion,)s 28 r (Poisson)s 26 r (and)s 27 r (b)s -2 r (oson)s 26 r (p)s -3 r (oint)s 26 r (pr)s -2 r (o)s -4 r (c)s -3 r (esses)s f8 SF 24 r (Preprint)s 24 r (,T)s -4 r (oky)s -2 r (o)s 24 r (Institute)s 26 r (of)s 134 448 p (T)s -5 r (ec)s -2 r (hnology)s -5 r (.)s 0 583 p ([19])s 33 r (Shirai,T.)s 30 r (,T)s -5 r (ak)s -3 r (ahashi)s 29 r (Y.,)s f11 SF 32 r (R)s -3 r (andom)s 30 r (p)s -2 r (oint)s 30 r (\014elds)s 31 r (asso)s -3 r (ciate)s -3 r (d)s 30 r (with)s 31 r (c)s -2 r (ertain)s 30 r (F)s -4 r (r)s -4 r (e)s -3 r (dholm)s 30 r (de-)s 134 663 p (terminants)s 24 r (II:)s 24 r (fermion)s 24 r (shifts)s 24 r (and)s 24 r (their)s 24 r (er)s -3 r (go)s -3 r (dic)s 23 r (and)s 24 r (Gibbs)s 24 r (pr)s -2 r (op)s -3 r (erties)s f8 SF 21 r (Preprin)s -1 r (t)s 22 r (,T)s -5 r (oky)s -1 r 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