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