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Ergodic properties of partially hyperbolic dynamical systems and weakly rigid systems

Grant number: 18/25624-0
Support type:Scholarships abroad - Research
Effective date (Start): September 01, 2019
Effective date (End): August 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Gabriel Ponce
Grantee:Gabriel Ponce
Host: Jerome Buzzi
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: Université Paris-Sud (Paris 11), France  

Abstract

This research project intends to study the structure of invariant ergodic measures, maximum entropy ergodic measures and the occurrence of the Bernoulli property for partially hyperbolic diffeomorphisms, addressing open problems formulated by the author of this project, by F. Hertz, J. R. Hertz, R. Ures, A. Wilkinson (see problems related to ergodic properties of partially hyperbolic diffeomorphisms), and in the literature by other names of the area such as A. Tahzibi, S. Crovisier and J. Buzzi (see problems related to finiteness of maximum entropy measures) among other.

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