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arXiv · 1901.01694

Upper bounds on measure theoretic tail entropy for dominated splittings

Yongluo Cao·Gang Liao·Zhiyuan You
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Abstract

For differentiable dynamical systems with dominated splittings, we give upper estimates on the measure-theoretic tail entropy in terms of Lyapunov exponents. As our primary application, we verify the upper semi-continuity of metric entropy in various settings with domination.

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Yongluo Cao, Gang Liao, Zhiyuan You. 2019-01-07. Upper bounds on measure theoretic tail entropy for dominated splittings. https://arxiv.org/abs/1901.01694

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