|Support type:||Scholarships in Brazil - Post-Doctorate|
|Effective date (Start):||April 01, 2015|
|Effective date (End):||September 30, 2015|
|Field of knowledge:||Physical Sciences and Mathematics - Mathematics - Geometry and Topology|
|Principal researcher:||Marco Antônio Teixeira|
|Home Institution:||Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil|
|Associated research grant:||12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM|
Given an Anosov diffeomorphism f on the n-Torus, for n greater than 2, with smooth stable and unstable foliations, it is not known yet if f is necessaily smoothly conjugated to its linearization. Such question is open for more then two decades. In this project we intend to introduce new techniques that allow us to make considerable advances on this conjecture. Also, we will study the occurrence of fine ergodic properties for certain partially hyperbolic systems. In particular, we will investigate under which conditions the Bernoulli property can be obtained from a given partially hyperbolic structure.