This article is cited in 3 papers

Invariant Distributions in Systems with Elastic Reflections

S. V. Naydenov, V. V. Yanovskii

Institute for Single Crystals, National Academy of Sciences of Ukraine

Abstract: We derive equations for invariant distributions of billiards as invertible (measure-preserving) dynamic systems in a symmetric phase space and find their solutions. We introduce and investigate invariant measures for the complete and contracted descriptions and establish the relation between them.

Received: 26.06.2001

DOI: 10.4213/tmf304

 English version: Theoretical and Mathematical Physics, 2002, 130:2, 256–270

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