A survey on partially hyperbolic dynamics

Details A survey on partially hyperbolic dynamics A survey on partially hyperbolic dynamics

2006-09-13

arxiv.org/abs/math/0609362v2

Mathematics

Dynamical Systems

57 pages, references added

Scientific paper

Some of the guiding problems in partially hyperbolic systems are the
following: (1) Examples, (2) Properties of invariant foliations, (3)
Accessibility, (4) Ergodicity, (5) Lyapunov exponents, (6) Integrability of
central foliations, (7) Transitivity and (8) Classification. Here we will
survey the state of the art on these subjects, and propose related problems.

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