Differentiability of thermodynamic quantities for partially hyperbolic systems
Partially hyperbolic diffeomorphisms: Lyapunov exponents and equilibrium states
Probabilistic and algebraic aspects of smooth dynamical systems
Grant number: | 15/15127-1 |
Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
Effective date (Start): | October 01, 2015 |
Effective date (End): | March 31, 2016 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Ali Tahzibi |
Grantee: | Jorge Luis Crisostomo Parejas |
Supervisor: | Renaud Daniel Jacques Leplaideur |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Research place: | Université de Bretagne Occidentale (UBO), France |
Associated to the scholarship: | 13/03735-1 - Foliations, transverse measures and partially hyperbolic systems, BP.DR |
Abstract In this project we will study the geometric structure of equilibrium states to partially hyperbolic systems in T3. Let's analyse (giving examples or exclude) the non uniqueness of equilibrium states for Derived from Anosov (non compact central leaves) which come from potentials defined for the Anosov (action on homotopy) model. We will also study the local product structure for measures of maximal entropy. (AU) | |
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