Entropy inequalities for semigroup actions

Author:

Carvalho MariaORCID,Rodrigues Fagner BORCID,Varandas PauloORCID

Abstract

Abstract We extend Margulis–Ruelle inequality to the general setting of semigroup actions which are finitely generated either by Lipschitz continuous maps acting on a compact metric space or by smooth maps on a compact Riemannian manifold. We also discuss a few examples to illustrate the sharpness of our estimates.

Funder

Fundação para a Ciência e a Tecnologia

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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