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arXiv:math/0101128 [math.DS]AbstractReferencesReviewsResources

Topological and Symbolic Dynamics for Axiom A Diffeomorphisms with Holes

S. Bundfuss, T. Krueger, S. Troubetzkoy

Published 2001-01-16, updated 2002-02-07Version 2

We consider an Axiom A diffeomorphism and the invariant set $\Omega$ of orbits which never falls into a fixed hole. We study various aspects of the complexity of the symbolic representation of $\Omega$. Our main result are that each topologically transitive component of $\Omega$ is coded and that typically $\Omega$ is of finite type.

Comments: 17 pages, no figures
Categories: math.DS, math-ph, math.MP
Subjects: 37D20, 37B10
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