Semi-dispersing billiards of infinite topological entropy

Dmitri Burago

doi:10.1017/S0143385704001002

Semi-dispersing billiards of infinite topological entropy

Dmitri Burago

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In contrast with a result of Burago, Ferleger and Kononenko stating that the topological entropy of a compact non-degenerate semi-dispersing billiard on any manifold of non-positive sectional curvature is finite, we give an example of a (degenerate) semi-dispersing billiard with infinite topological entropy.

Original language	English (US)
Pages (from-to)	45-52
Number of pages	8
Journal	Ergodic Theory and Dynamical Systems
Volume	26
Issue number	1
DOIs	https://doi.org/10.1017/S0143385704001002
State	Published - Feb 1 2006

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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abstract = "In contrast with a result of Burago, Ferleger and Kononenko stating that the topological entropy of a compact non-degenerate semi-dispersing billiard on any manifold of non-positive sectional curvature is finite, we give an example of a (degenerate) semi-dispersing billiard with infinite topological entropy.",

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AB - In contrast with a result of Burago, Ferleger and Kononenko stating that the topological entropy of a compact non-degenerate semi-dispersing billiard on any manifold of non-positive sectional curvature is finite, we give an example of a (degenerate) semi-dispersing billiard with infinite topological entropy.

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Semi-dispersing billiards of infinite topological entropy

Abstract

All Science Journal Classification (ASJC) codes

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