arXiv:2203.16961 Abstract | arXiv Analytics

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Sub-additivity of measure-theoretic entropies of commuting transformations on Banach space

Published 2022-03-31Version 1

We consider two commuting smooth transformations on Banach spaces, prove the sub-additivity of measure-theoretic entropies and give the condition for equality. This is an extension of Hu's work on commuting diffeomorphisms in a finite-dimensional space (HuHu Yi 1993 Ergod. Th. Dynam. Sys. 13 73-100) to the case of systems on a Banach space.

Categories: math.DS

Keywords: banach space, measure-theoretic entropies, commuting transformations, sub-additivity, commuting smooth transformations

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