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Ergodic properties for flows

Grant number: 12/04511-7
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Start date: July 19, 2012
End date: August 27, 2012
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Edson Vargas
Grantee:Edson Vargas
Visiting researcher: Wenxiang Sun
Visiting researcher institution: Peking University (PKU), China
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

We prove here some results about the variation of the topological entropy for flows in a class of topological equivalence. In particular, all flows in the topological equivalence class of a non-uniform hyperbolic flow have positive topological entropy. (AU)

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