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.
Citation:
S. V. Naydenov, V. V. Yanovskii, “Invariant Distributions in Systems with Elastic Reflections”, TMF, 130:2 (2002), 301–319; Theoret. and Math. Phys., 130:2 (2002), 256–270