Index
χ+(v),
41
χ+(x,
v), 78
χi
+,
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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