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Foliations, transverse measures and partially hyperbolic systems

Grant number: 13/03735-1
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): June 01, 2013
Effective date (End): August 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Ali Tahzibi
Grantee:Jorge Luis Crisostomo Parejas
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated scholarship(s):15/15127-1 - Local product structure, equilibrium states and partially hiperbolic systems, BE.EP.DR

Abstract

In this project, we will study transverse measures of invariant foliations for partially hyperbolic dynamical systems which are defined in T3 or nilmanifolds N3. We will investigate the relationship between measures of maximum entropy and transverse measures and invariant by holonomy. We will also study the relationships between disintegration of Lebesgue measure along the central leaves and transverse measures. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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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)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
PAREJAS, Jorge Luis Crisostomo. Equilibrium states and their local product structure for partially hyperbolic diffeomorphisms.. 2016. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.

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