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
• City of the host institution: São Paulo
• 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)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

ABADIE, F.; DOKUCHAEV, M.; EXEL, R.. Strong equivalence of graded algebras. Journal of Algebra, v. 659, p. 41-pg., 2024-07-30. (20/16594-0, 17/23242-0, 17/26645-9, 15/09162-9)