Entropy maximizing measures for partially hyperbolic diffeomorphisms

• Grant number: 09/17136-7
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2010
• End date: March 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Tahzibi
• Grantee: Ali Tahzibi
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this project we will study fine ergodic properties of maximizing entropy measures for partially hyperbolic systems. One of the main objectives is to prove the existence and verify the (non)uniqueness of such measures for a large class of partially hyperbolic diffeomorphisms. Finally we will study the robustness of fine ergodic properties (like Kolmogrov or Bernoulli property) for natural measures of partially hyperbolic systems. (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)

RODRIGUEZ HERTZ, F.; RODRIGUEZ HERTZ, M. A.; TAHZIBI, A.; URES, R.. Maximizing measures for partially hyperbolic systems with compact center leaves. Ergodic Theory and Dynamical Systems, v. 32, p. 15-pg., 2012-04-01. (09/17136-7)

RODRIGUEZ HERTZ, F.; RODRIGUEZ HERTZ, M. A.; TAHZIBI, A.; URES, R.. Maximizing measures for partially hyperbolic systems with compact center leaves. Ergodic Theory and Dynamical Systems, v. 32, n. 2, p. 825-839, APR 2012. (09/17136-7)