Gibbs Measures and Phase Transitions

• Grant number: 16/08518-7
• Support Opportunities: Scholarships abroad - Research
• Start date: June 05, 2016
• End date: July 16, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Rodrigo Bissacot Proença
• Grantee: Rodrigo Bissacot Proença
• Host Investigator: Aernout Coert Daniel Van Enter
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: University of Groningen, Netherlands
• Associated research grant: 11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

During the visit, we will discuss projects concerning to Gibbs Measures, phase transitions in Ising Model type and chaotic behavior around critical points.

Scientific publications

(4)

(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)

BISSACOT, RODRIGO; ENDO, ERIC O.; VAN ENTER, AERNOUT C. D.; KIMURA, BRUNO; RUSZEL, WIOLETTA M.. Contour Methods for Long-Range Ising Models: Weakening Nearest-Neighbor Interactions and Adding Decaying Fields. ANNALES HENRI POINCARE, v. 19, n. 8, p. 2557-2574, AUG 2018. (16/08518-7, 15/14434-8, 16/25053-8, 14/10637-9)

BISSACOT, RODRIGO; ENDO, ERIC OSSAMI; VAN ENTER, AERNOUT C. D.. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields. Stochastic Processes and their Applications, v. 127, n. 12, p. 4126-4138, DEC 2017. (16/08518-7, 11/16265-8, 15/14434-8, 14/10637-9)

ALON, NOGA; BISSACOT, RODRIGO; ENDO, ERIC OSSAMI. Counting contours on trees. LETTERS IN MATHEMATICAL PHYSICS, v. 107, n. 5, p. 887-899, MAY 2017. (11/16265-8, 14/10637-9, 16/08518-7, 15/14434-8)

BISSACOT, RODRIGO; ENDO, ERIC O.; VAN ENTER, AERNOUT C. D.; LE NY, ARNAUD. Entropic Repulsion and Lack of the g-Measure Property for Dyson Models. Communications in Mathematical Physics, v. 363, n. 3, p. 767-788, NOV 2018. (15/14434-8, 16/25053-8, 14/10637-9, 16/08518-7, 11/16265-8)