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Published in 2021 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.65
Abstract: Mixing rates, relaxation rates, and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known for non-summable variations. This paper exhibits upper bounds for these quantities for…
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Keywords:
rates potentials;
summable variations;
mixing rates;
potentials non ... See more keywords
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Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/abebc5
Abstract: We establish sharp bounds on the mixing rates of a class of two dimensional non-uniformly hyperbolic symplectic maps. This provides a primer on how to investigate such questions in a concrete example and, at the…
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Keywords:
mixing rates;
rates symplectic;
symplectic almost;
anosov maps ... See more keywords