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Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2011

TOPOLOGICAL AND SYMBOLIC DYNAMICS FOR HYPERBOLIC SYSTEMS WITH HOLES

Résumé

We consider an Axiom A diffeomorphism or a Markov map of an interval and the invariant set Ω∗ of orbits which never falls into a fixed hole. We study various aspects of the symbolic representation of Ω∗ and of its nonwandering set Ωnw. Our re- sults are on the cardinality of the set of topologically transitive components of Ωnw and their structure. We also prove that Ω∗ is generically a subshift of finite type in several senses.
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hal-00477064 , version 1 (28-04-2010)

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Serge Troubetzkoy, Tyll Krueger, Stefan Bundfuss. TOPOLOGICAL AND SYMBOLIC DYNAMICS FOR HYPERBOLIC SYSTEMS WITH HOLES. Ergodic Theory and Dynamical Systems, 2011, 31 (05), pp.1305-1323. ⟨10.1017/S0143385710000556⟩. ⟨hal-00477064⟩
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