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Invariant measures in weakly hyperbolic dynamics

Grant number: 18/06267-2
Support type:Research Grants - Visiting Researcher Grant - International
Duration: July 02, 2018 - August 10, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Edson Vargas
Grantee:Edson Vargas
Visiting researcher: Sun Wenxiang
Visiting researcher institution: Peking University (PKU), China
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

The main goal of this project is to prove that invariant measures for weakly hyperbolic diffeomorphisms and flows with singularities can be approximated on the weak topology by periodic measures supported on hyperbolic periodic orbits. This result extends results we proved before and have applications in the context of dispersing billiards. This project is a continuation of some recent published works resulted from a collaboration of the visitor and the host and having a partial support from Fapesp. (AU)