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Semi-dispersing billiards of infinite topological entropy

Published online by Cambridge University Press:  13 January 2006

D. BURAGO
D. BURAGO
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA (e-mail: burago@math.psu.edu)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 45 - 52
Copyright
2006 Cambridge University Press

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