Entropy of polyhedral billiard

Nicolas Bedaride

doi:10.3934/dcds.2007.19.89

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2007, Volume 19, Issue 1: 89-102. Doi: 10.3934/dcds.2007.19.89

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Entropy of polyhedral billiard

Nicolas Bedaride^1,

1.
Fédération de recherche des unités de mathématiques de Marseille, LATP, Faculté des sciences de Saint-Jérome, case cours A, Université Paul Cézanne, 13397 Marseille Cedex 20

Received: June 30, 2006

Revised: January 31, 2007

Published: December 2006

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Abstract

We consider the billiard map in a convex polyhedron of $\mathbb{R}^3$, and we prove that it is of zero topological entropy.

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Mathematics Subject Classification: Primary: 37AF35, 37E15; Secondary: 52B10.

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