Article ID Journal Published Year Pages File Type
1898378 Physica D: Nonlinear Phenomena 2014 7 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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