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Markov partitions and shadowing for non-uniformly hyperbolic systems with singularities

Published online by Cambridge University Press:  19 September 2008

Tyll Krüger  and
Serge Troubetzkoy
Tyll Krüger
Affiliation:
BiBoS, Fakultät für Physik, Universität Bielefeld, D-4800 Bielefeld 1, Germany
Serge Troubetzkoy
Affiliation:
BiBoS, Fakultät für Physik, Universität Bielefeld, D-4800 Bielefeld 1, Germany
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 3 , September 1992 , pp. 487 - 508
Copyright
Copyright © Cambridge University Press 1992

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