A probabilistic approach to spin systems

• Grant number: 18/21067-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: January 01, 2019
• End date: April 18, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Rodrigo Bissacot Proença
• Grantee: Luísa Bürgel Borsato
• 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
• Associated scholarship(s): 19/08349-9 - Gibbs and equilibrium measures on subshifts, BE.EP.DR

Abstract

We will try to prove some recent conjectures for Ising type models and in thermodynamic formalism using probabilistic tools. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BORSATO, LUISA; MACDONALD, SOPHIE. CONFORMAL MEASURES AND THE DOBRUSIN-LANFORD-RUELLE EQUATIONS. Proceedings of the American Mathematical Society, v. 149, n. 10, p. 4355-4369, OCT 2021. (18/21067-0, 19/08349-9)