Semi-dispersing billiards of infinite topological entropy

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

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Topological Entropy
Billiards
Entropy
Nonpositive Curvature
Sectional Curvature

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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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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Semi-dispersing billiards of infinite topological entropy. / Burago, Dmitri.

In: Ergodic Theory and Dynamical Systems, Vol. 26, No. 1, 01.02.2006, p. 45-52.

Research output: Contribution to journalArticle

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