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Different contexts for chaos

Grant number: 16/22475-9
Support Opportunities:Regular Research Grants
Duration: April 01, 2017 - March 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:José Régis Azevedo Varão Filho
Grantee:José Régis Azevedo Varão Filho
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project studies the disintegration of invariant measures for a given dynamical system. In general disintegration is associated mainly with objects invariant to dynamics, such as stable, unstable or central foliations. One of the main objectives is to understand how this relationship between dynamics and disintegration happens. Another objective is to analyze the most general conditions possible in order to obtain the maximum information of its invariant measures. From this perspective, this project also integrates other contexts such as rigidity of measures, equivalence between Kolmogorov-Bernoulli, Discontinuous Systems and Anosov Actions. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications (5)
(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)
EUZEBIO, RODRIGO D.; JUCA, JOABY S.; VARAO, REGIS. There Exist Transitive Piecewise Smooth Vector Fields on but Not Robustly Transitive. JOURNAL OF NONLINEAR SCIENCE, v. 32, n. 4, p. 15-pg., . (17/06463-3, 16/22475-9)
PONCE, G.; TAHZIBI, A.; VARAO, R.. On the Bernoulli property for certain partially hyperbolic diffeomorphisms. ADVANCES IN MATHEMATICS, v. 329, p. 329-360, . (09/16792-8, 15/02731-8, 11/21214-3, 16/05384-0, 14/23485-2, 12/14620-8, 17/06463-3, 16/22475-9)
NOVAES, DOUGLAS D.; VARAO, REGIS. A note on invariant measures for Filippov systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 167, . (18/13481-0, 17/06463-3, 16/22475-9)
ALVAREZ, CARLOS F.; SANCHEZ, ADRIANA; VARAO, REGIS. Equilibrium states for maps isotopic to Anosov. Nonlinearity, v. 34, n. 6, p. 4264-4282, . (18/18990-0, 16/22475-9, 17/06463-3)
ANTUNES, ANDRE AMARAL; CARVALHO, TIAGO; VARAO, REGIS. On topological entropy of piecewise smooth vector fields. Journal of Differential Equations, v. 362, p. 22-pg., . (19/10450-0, 16/22475-9, 19/10269-3, 21/12395-6, 17/18255-6, 17/06463-3)

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