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Ergodic Optimization for Anosov Diffeomorphisms

Grant number: 12/19977-1
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): March 01, 2013
Effective date (End): February 28, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Eduardo Garibaldi
Grantee:Lino Ramada Ferreira Junior
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil


The goal of this project is to study sub-actions for Holder continuous potentials on a hyperbolic dynamical system, as well as to characterize the invariant Borel probability measures that maximize the integral of such potentials. We shall make use of the already known theory, like the expansive case, in order to generalize concepts for hyperbolic toral automorphisms.

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
FERREIRA JUNIOR, Lino Ramada. Ergodic optimization for Anosov diffeomorphisms. 2015. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.

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