Thermodynamical formalism in ergodic theory

• Grant number: 18/05210-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2018
• End date: May 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Gabriel Ponce
• Grantee: Lucas Hiroyuki Ragni Hamada
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The main goal of this project is to study the theory of thermodynamical formalism in ergodic theory and some of its consequences. The four main pillars of this project are: - The Theorem of Ruelle - The Livsic Theorem - Decay of correlations - The Bowen-Manning Formula.