Regularity of topological and metric entropy of hyperbolic flows
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.
scientific article; zbMATH DE number 4215962
scientific article