A survey on partially hyperbolic dynamics

2006/09/13 by Hertz, F. Rodriguez, Hertz, M. A. Rodriguez, Ures, R. · 1 citation
#37A25 #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0609362

Abstract

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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• Exponential mixing via invariant foliations and relatively Anosov homeomorphisms

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