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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

Full text
Author(s):
Bissacot, Rodrigo [1] ; Endo, Eric Ossami [1, 2] ; van Enter, Aernout C. D. [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, IME, Sao Paulo - Brazil
[2] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, Groningen - Netherlands
[3] Univ Groningen, Dept Math, Johann Bernoulli Inst Math & Comp Sci, Groningen - Netherlands
Total Affiliations: 3
Document type: Journal article
Source: Stochastic Processes and their Applications; v. 127, n. 12, p. 4126-4138, DEC 2017.
Web of Science Citations: 5
Abstract

We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous critical external field. Our results extend earlier results by Rozikov and Ganikhodjaev. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 16/08518-7 - Gibbs Measures and Phase Transitions
Grantee:Rodrigo Bissacot Proença
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 11/16265-8 - Low dimensional dynamics
Grantee:Edson Vargas
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/14434-8 - Phase Transitions in Spin Models with General External Fields
Grantee:Eric Ossami Endo
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 14/10637-9 - Combinatorial Problems in Ferromagnetic Models
Grantee:Eric Ossami Endo
Support Opportunities: Scholarships in Brazil - Doctorate