|
This article is cited in 3 scientific papers (total 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
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
Linking options:
https://www.mathnet.ru/eng/tmf304https://doi.org/10.4213/tmf304 https://www.mathnet.ru/eng/tmf/v130/i2/p301
|
|