Regularity of topological and metric entropy of hyperbolic flows
type: Item
instance of: scholarly article
title: Regularity of topological and metric entropy of hyperbolic flows
zbMATH Open document ID: 0735.58026
DOI: 10.1007/BF02571785
author: G. Contreras
published in: Mathematische Zeitschrift
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174390
review text: We study the regularity of entropies of hyperbolic flows with respect to equilibrium states as functions of the flow. Among other results we prove that the topological entropy (respectively, the entropy with respect to the Bowen-Ruelle-Sinai measure) of a \(C^ r\) Anosov flow is a \(C^ r\) function (respectively, \(C^{r-2}\) function) of the flow.
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 54C70
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 4215962
zbMATH Keywords: hyperbolic flows
zbMATH Keywords: equilibrium
zbMATH Keywords: topological entropy
zbMATH Keywords: Anosov flow
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4215962