Topological and symbolic dynamics for hyperbolic systems with holes

Bundfuss S, Krüger T, Troubetzkoy S (2011)
Ergodic Theory and Dynamical Systems 31(05): 1305-1323.

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We consider an axiom A diffeomorphism or a Markov map of an interval and the invariant set Omega* of orbits which never falls into a fixed hole. We study various aspects of the symbolic representation of Omega* and of its non-wandering set Omega(nw). Our results are on the cardinality of the set of topologically transitive components of Omega(nw) and their structure. We also prove that Omega* is generically a subshift of finite type in several senses.
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Bundfuss S, Krüger T, Troubetzkoy S. Topological and symbolic dynamics for hyperbolic systems with holes. Ergodic Theory and Dynamical Systems. 2011;31(05):1305-1323.
Bundfuss, S., Krüger, T., & Troubetzkoy, S. (2011). Topological and symbolic dynamics for hyperbolic systems with holes. Ergodic Theory and Dynamical Systems, 31(05), 1305-1323.
Bundfuss, S., Krüger, T., and Troubetzkoy, S. (2011). Topological and symbolic dynamics for hyperbolic systems with holes. Ergodic Theory and Dynamical Systems 31, 1305-1323.
Bundfuss, S., Krüger, T., & Troubetzkoy, S., 2011. Topological and symbolic dynamics for hyperbolic systems with holes. Ergodic Theory and Dynamical Systems, 31(05), p 1305-1323.
S. Bundfuss, T. Krüger, and S. Troubetzkoy, “Topological and symbolic dynamics for hyperbolic systems with holes”, Ergodic Theory and Dynamical Systems, vol. 31, 2011, pp. 1305-1323.
Bundfuss, S., Krüger, T., Troubetzkoy, S.: Topological and symbolic dynamics for hyperbolic systems with holes. Ergodic Theory and Dynamical Systems. 31, 1305-1323 (2011).
Bundfuss, Stefan, Krüger, Tyll, and Troubetzkoy, Serge. “Topological and symbolic dynamics for hyperbolic systems with holes”. Ergodic Theory and Dynamical Systems 31.05 (2011): 1305-1323.
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