Estimates of the derivative of the entropy of Gaussian thermostats
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Publication:5251056
DOI10.1088/0951-7715/28/5/1217zbMath1351.37017arXiv1408.3216OpenAlexW2093189672MaRDI QIDQ5251056
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Publication date: 22 May 2015
Published in: Nonlinearity (Search for Journal in Brave)
Abstract: We consider a variation of an Anosov geodesic flow by Gaussian Thermostats and we obtain estimates of the derivative of the entropy map at the geodesic flow. In particular, we prove that the entropy of the geodesic flow is a local maximum for the entropy map.
Full work available at URL: https://arxiv.org/abs/1408.3216
Ergodicity, mixing, rates of mixing (37A25) Topological entropy (37B40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
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