| Grant number: | 14/23485-2 |
| Support type: | Scholarships abroad - Research |
| Effective date (Start): | August 01, 2015 |
| Effective date (End): | July 31, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal researcher: | Ali Tahzibi |
| Grantee: | Ali Tahzibi |
| Host: | Jerome Buzzi |
| Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Research place: | Université Paris-Sud (Paris 11), France |
Abstract In this project we study the Lyapunov exponents and uniqueness of equilibrium states of partially hyperbolic diffeomorphisms. The context of our study is essentially focused on the isotopic to linear hyperbolic diffeomorphisms. In the case of skew product partially hyperbolic diffeomorphisms we will study the ergodic properties of high entropy invariant measures. More precisely, we would like to understand the Bernoulli (or finite extension of Bernoulli) properties of high entropy measures. (AU) | |
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