Entropy inequalities for semigroup actions. (6th June 2022)

• Record Type: Journal Article
• Authors: Carvalho, Maria; Rodrigues, Fagner B; Varandas, Paulo
• Is Part Of: Nonlinearity. Volume 35:Number 6(2022)
• Page Start: 3159
• Page End: 3190
• Publication Date: 2022-06-06
• Subjects: semigroup actions -- expanding maps -- skew-product -- entropy; 22F05 -- 37B05 -- 37B40 -- 37H15 -- 37D20 -- 37D35 -- 37C85; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/ac6b0d
• Languages: English
• ISSNs: 0951-7715

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.