Semi-dispersing billiards of infinite topological entropy

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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.

Original languageEnglish (US)
Pages (from-to)45-52
Number of pages8
JournalErgodic Theory and Dynamical Systems
Volume26
Issue number1
DOIs
StatePublished - Feb 1 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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