arXiv:math/0609362 Abstract

arXiv:math/0609362 [math.DS]Abstract References Reviews Resources

A survey on partially hyperbolic dynamics

F. Rodriguez Hertz, M. A. Rodriguez Hertz, R. Ures

Published 2006-09-13, updated 2006-09-21Version 2

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.

Comments: 57 pages, references added

Categories: math.DS

Subjects: 37D30, 37A25

Keywords: partially hyperbolic dynamics, central foliations, partially hyperbolic systems, lyapunov exponents, invariant foliations

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arXiv:math/0609362 [math.DS]Abstract References Reviews Resources

A survey on partially hyperbolic dynamics

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A survey on partially hyperbolic dynamics

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arXiv:math/0609362 [math.DS]Abstract References Reviews Resources