Publication | Closed Access
Markov partitions and shadowing for non-uniformly hyperbolic systems with singularities
51
Citations
13
References
1992
Year
Integrable ProbabilityDiscrete Dynamical SystemMarkov KernelNon-uniformly Hyperbolic SystemsDiscrete Integrable SystemGeometric Singular Perturbation TheoryNonlinear Hyperbolic ProblemDiscrete MathematicsHyperbolic EquationPoisson BoundaryCountable Markov PartitionsMarkov PartitionsLarge Class
Abstract We show the existence of countable Markov partitions for a large class of non-uniformly hyperbolic systems with singularities including dispersing billiards in any dimension.
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