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Entropy maximizing measures for partially hyperbolic diffeomorphisms

Grant number: 09/17136-7
Support Opportunities:Regular Research Grants
Duration: April 01, 2010 - 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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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)
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, . (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, p. 15-pg., . (09/17136-7)

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