Entropy of flows, revisited |
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| Authors: | Wenxiang Sun Edson Vargas |
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| Affiliation: | (1) School of Mathematics, Peking University, 100871 Beijing, China;(2) Department of Mathematics, Universidade de São Paulo, 05508-900 São Paulo, Brasil |
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| Abstract: | We introduce a concept of measure-theoretic entropy for flows and study its invariance under measure-theoretic equivalences. Invariance properties of the corresponding topological entropy is studied too. We also answer a question posed by Bowen-Walters in [3] concerning the equality between the topological entropy of the time-one map of an expansive flow and the time-one map of its symbolic suspension.Partially supported by FAPESP-Brasil, Grant #96/11671-6.Partially supported by CNPq-Brasil, Grant #300557/89-2. |
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| Keywords: | Entropy measure-theoretic entropy topological entropy invariant measure |
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