(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms
classification
🧮 math.DS
keywords
continuitydiffeomorphismsentropyhyperbolicmeasurespartiallyprobabilitysinai
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We establish sufficient conditions for the upper semicontinuity and the continuity of the entropy of Sinai probability measures invariant by partially hyperbolic diffeomorphisms and discuss their application in several examples.
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