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Phase Transitions in Spin Models with General External Fields

Grant number: 15/14434-8
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): October 07, 2015
Effective date (End): October 06, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Rodrigo Bissacot Proença
Grantee:Eric Ossami Endo
Supervisor: Aernout Coert Daniel Van Enter
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: University of Groningen, Netherlands  
Associated to the scholarship:14/10637-9 - Combinatorial Problems in Ferromagnetic Models, BP.DR

Abstract

The main goal of the project is to continue previous studies and try to understand the problem of the Phase Transition in ferromagnetic Ising Models type when we consider a non-null and deterministic external field. In particular try to obtain results about unicity in the case of ferromagnetic Ising Models when the field decays to zero at infinity.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications (6)
(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.; 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, . (15/14434-8, 16/25053-8, 14/10637-9, 16/08518-7, 11/16265-8)
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, . (16/08518-7, 11/16265-8, 15/14434-8, 14/10637-9)
ENDO, ERIC O.; VALESIN, DANIEL. Local limits of spatial Gibbs random graphs. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, v. 17, n. 1, p. 51-63, . (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, . (11/16265-8, 14/10637-9, 16/08518-7, 15/14434-8)
BISSACOT, RODRIGO; ENDO, ERIC O.; VAN ENTER, AERNOUT C. D.; KIMURA, BRUNO; LE NY, ARNAUD; RUSZEL, WIOLETTA M.; SIDORAVICIUS, V. Dyson Models Under Renormalization and in Weak Fields. SOJOURNS IN PROBABILITY THEORY AND STATISTICAL PHYSICS - I: SPIN GLASSES AND STATISTICAL MECHANICS, A FESTSCHRIFT FOR CHARLES M. NEWMAN, v. 298, p. 15-pg., . (14/10637-9, 11/16265-8, 15/14434-8)
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, . (16/08518-7, 15/14434-8, 16/25053-8, 14/10637-9)

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