Index χ+(v), 41 χ+(x, v), 78 χ+, i 79 χ−(v), 52 χ−(x, v), 79 χi − , 52, 79 γ(χ, χ∗), 39 λ-lemma, 150 π(χ, χ∗), 39 absolute continuity, 155 theorem, 158 absolutely continuous foliation in the strong sense, 156 foliation in the weak sense, 155 transformation, 158 accessibility property, 225 essential –, 225 accessible points, 225 Anosov diffeomorphism, 4, 5 flow, 8 asymptotic geodesics, 206 asymptotically stable solution, 63 conditionally –, 72 automorphism Bernoulli –, 7 hyperbolic toral –, 4 backward regular, 59 Lyapunov exponent, 53 point, 80 basis normal –, 36 ordered –, 36 subordinate –, 35, 37 Bernoulli automorphism, 7 flow, 31 Besicovich covering lemma, 163 canonical metric, 196 Cauchy matrix, 68 center bunched diffeomorphism, 226 central space, 224 characteristic exponent, 65 cocycle, 99, 100 derivative –, 100 generator, 101 induced –, 102 linear multiplicative –, 100 Lyapunov exponent, 105 nonuniformly partially hyperbolic –, 94 power –, 102 reducible –, 109 tempered –, 103 triangular –, 120, 121 uniformly hyperbolic –, 90 cocycles cohomologous –, 104 equivalent –, 104 coeﬃcient Perron –, 39 regularity –, 39 coherent filtrations, 53, 107 273

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