Thermodynamic formalism at zero temperature for random subshifts of finite type

• Grant number: 14/23773-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2015
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• 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 the thermodynamic formalism in zero temperature for Random Dynamical Systems (RDS). We shall make use of already existing results of the literature which (under some hypotheses) guarantee the existence of equilibrium states $\mu_{\beta}$ for random elements $\beta\phi$ in a RDS. We wish to find conditions for $\phi$ to obtain the convergence of $\mu_{\beta}$ as $\beta \to \infty$. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FERREIRA JUNIOR, Lino Ramada. Thermodynamic formalism at zero temperature for random subshift of finite type. 2020. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.