A geometric approach to semi-dispersing billiards

Dmitri Burago, S. Ferleger, A. Kononenko

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We summarize the results of several recent papers, together with a few new results, which rely on a connection between semi-dispersing billiards and non-regular Riemannian geometry. We use this connection to solve several open problems about the existence of uniform estimates on the number of collisions, topological entropy and periodic trajectories of such billiards.

Original languageEnglish (US)
Pages (from-to)303-319
Number of pages17
JournalErgodic Theory and Dynamical Systems
Volume18
Issue number2
DOIs
StatePublished - Jan 1 1998

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Geometric Approach
Billiards
Entropy
Trajectories
Periodic Trajectories
Riemannian geometry
Geometry
Uniform Estimates
Topological Entropy
Open Problems
Collision

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Burago, Dmitri ; Ferleger, S. ; Kononenko, A. / A geometric approach to semi-dispersing billiards. In: Ergodic Theory and Dynamical Systems. 1998 ; Vol. 18, No. 2. pp. 303-319.
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A geometric approach to semi-dispersing billiards. / Burago, Dmitri; Ferleger, S.; Kononenko, A.

In: Ergodic Theory and Dynamical Systems, Vol. 18, No. 2, 01.01.1998, p. 303-319.

Research output: Contribution to journalArticle

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