Some variational formulas for Hausdorff dimension,topological entropy,and SRB entropy for hyperbolic dynamical systems |
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Authors: | Howard Weiss |
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Institution: | (1) Department of Mathematics, Pennsylvania State University, 16802 University Park, Pennsylvania |
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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. |
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Keywords: | Topological entropy SRB entropy Hausdorff dimension hyperbolic dynamical system variational formulas |
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