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Some variational formulas for Hausdorff dimension,topological entropy,and SRB entropy for hyperbolic dynamical systems
Authors:Howard Weiss
Institution:(1) Department of Mathematics, Pennsylvania State University, 16802 University Park, Pennsylvania
Abstract:We derive several variational formulas for the topological entropy and SRB entropy of Axiom A flows on compact manifolds and for the Hausdorff dimension of basic sets for Axiom A diffeomorphisms on compact surfaces.
Keywords:Topological entropy  SRB entropy  Hausdorff dimension  hyperbolic dynamical system  variational formulas
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