Local product structure, equilibrium states and partially hiperbolic systems

• Grant number: 15/15127-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: October 01, 2015
• End date: 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
• Institution abroad: 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)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CRISOSTOMO, J.; TAHZIBI, A.. Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part. Nonlinearity, v. 32, n. 2, p. 584-602, FEB 2019. (14/23485-2, 17/06463-3, 15/15127-1, 13/03735-1)