Upper bounds on measure theoretic tail entropy for dominated splittings
classification
🧮 math.DS
keywords
entropyupperdominatedsplittingstailapplicationboundsdifferentiable
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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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