Ergodic Optimization for Anosov Diffeomorphisms

• Grant number: 12/19977-1
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2013
• End date: 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

Abstract

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.

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.