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Margulis measures and partially hyperbolic systems

Grant number: 18/04076-5
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): June 01, 2018
Effective date (End): March 31, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Ali Tahzibi
Grantee:Richard Javier Cubas Becerra
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems, AP.TEM


In this project we study the maximizing measure of flow type diffeomorphisms. To approach this problem, we use the Margulis construction of homogenuous measures and use desintegration of measures to analyse the uniqueness problem of maximal measures.

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
BECERRA, Richard Javier Cubas. Margulis systems of masures and measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center foliation. 2022. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.

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