Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898378 | Physica D: Nonlinear Phenomena | 2014 | 7 Pages |
Abstract
Sinai-Ruelle-Bowen measures are the only physically observable invariant measures for billiard dynamical systems under small perturbations. These measures are singular, but as it was noted in Bonetto et al. (2012), marginal distributions of spatial and angular coordinates are absolutely continuous. We generalize these facts and provide full mathematical proofs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
N. Chernov, A. Korepanov,