%PDF-1.4 % 4 0 obj << /S /GoTo /D (section*.1) >> endobj 7 0 obj (Acknowledgements) endobj 8 0 obj << /S /GoTo /D (section.1) >> endobj 11 0 obj (1. Introduction) endobj 12 0 obj << /S /GoTo /D (subsection.1.1) >> endobj 15 0 obj (1.1. Motivation) endobj 16 0 obj << /S /GoTo /D (subsection.1.2) >> endobj 19 0 obj (1.2. Structure of the paper) endobj 20 0 obj << /S /GoTo /D (subsection.1.3) >> endobj 23 0 obj (1.3. Compositions of Anosov diffeomorphisms) endobj 24 0 obj << /S /GoTo /D (subsection.1.4) >> endobj 27 0 obj (1.4. Unstable curves with smooth measures) endobj 28 0 obj << /S /GoTo /D (subsection.1.5) >> endobj 31 0 obj (1.5. Main contributions) endobj 32 0 obj << /S /GoTo /D (section.2) >> endobj 35 0 obj (2. Distortions and holonomy maps) endobj 36 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 39 0 obj (2.1. Stable foliations Wn) endobj 40 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 43 0 obj (2.2. Distortion) endobj 44 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 47 0 obj (2.3. Image of a standard family) endobj 48 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 51 0 obj (2.4. Holonomy maps) endobj 52 0 obj << /S /GoTo /D (section.3) >> endobj 55 0 obj (3. Coupling Lemma and the proof of Theorems 4 and 2) endobj 56 0 obj << /S /GoTo /D (section.4) >> endobj 59 0 obj (4. Proof of the Coupling Lemma) endobj 60 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 63 0 obj (4.1. Outline of the proof) endobj 64 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 67 0 obj (4.2. Magnets and crossings) endobj 68 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 71 0 obj (4.3. Time-dependent magnets) endobj 72 0 obj << /S /GoTo /D (subsection.4.4) >> endobj 75 0 obj (4.4. Coupling step) endobj 76 0 obj << /S /GoTo /D (subsection.4.5) >> endobj 79 0 obj (4.5. Recovery step) endobj 80 0 obj << /S /GoTo /D (subsection.4.6) >> endobj 83 0 obj (4.6. Exponential tail bound) endobj 84 0 obj << /S /GoTo /D (appendix.A) >> endobj 87 0 obj (Appendix A. Subspace distance) endobj 88 0 obj << /S /GoTo /D (appendix.B) >> endobj 91 0 obj (Appendix B. Uniform H\366lder continuity of the \(un\)stable distribution) endobj 92 0 obj << /S /GoTo /D (appendix.C) >> endobj 95 0 obj (Appendix C. Inclination Lemma type results) endobj 96 0 obj << /S /GoTo /D (section*.2) >> endobj 99 0 obj (References) endobj 100 0 obj << /S /GoTo /D [101 0 R /Fit ] >> endobj 103 0 obj << /Length 4158 /Filter /FlateDecode >> stream x]oݿC|~qL'7Zj ER:wL$(пޙ$p]}qggf[lub>aG~=WIJǡJJk*:WN_m <}56]oTlNO~^oxpzr0h>þWgk)_/ӓ?lx(:0j#0c?E7RvpM5g5#%a8L]].\,Bkt|ݕ7HiW BbuPզx{(wES4z*%|{*V[vx "]+pm*ݗY}6 -n+ŦAhݡ+k<9Ax^tE/+{/h9xKqQxVܭ-n