Geodesic
Invariant Distributions in Systems with Elastic Reflections
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 2, pp. 301-319 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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S. V. Naydenov; V. V. Yanovskii. Invariant Distributions in Systems with Elastic Reflections. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 2, pp. 301-319. http://geodesic.mathdoc.fr/item/TMF_2002_130_2_a6/

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