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Local product structure, equilibrium states and partially hiperbolic 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


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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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, . (14/23485-2, 17/06463-3, 15/15127-1, 13/03735-1)

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