Thermodynamic formalism and KMS states on Countable Markov shifts

• Grant number: 17/26645-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: March 01, 2018
• End date: March 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Rodrigo Bissacot Proença
• Grantee: Rodrigo Bissacot Proença
• Visiting researcher: Ruy Exel Filho
• Visiting researcher institution: Universidade Federal de Santa Catarina (UFSC). Centro de Ciências Físicas e Matemáticas, Brazil
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

We will investigate the existence (or not) of one or multiple KMS states for suitable potentials on the setting of Countable Markov Shifts. (AU)