Upper bounds on measure theoretic tail entropy for dominated splittings

2019/01/07 by Cao, Yongluo, Liao, Gang, You, Zhiyuan
#37A35 #37C4 #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.01694

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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