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arXiv · 1510.00532

Spatial structure of Sinai-Ruelle-Bowen measures

N. Chernov·A. Korepanov
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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 observed, marginal distributions of spatial and angular coordinates are absolutely continuous. We generalize these facts and provide full mathematical proofs.

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N. Chernov, A. Korepanov. 2015-10-02. Spatial structure of Sinai-Ruelle-Bowen measures. https://doi.org/10.1016/j.physd.2014.06.006

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