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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.)

Explicit estimates in the Bramson-Kalikow model

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Gallesco, C. [1] ; Gallo, S. [2] ; Takahashi, D. Y. [3, 4]
Total Authors: 3
[1] Univ Estadual Campinas, Inst Matemat Estat Ciencias Computat, Dept Estat, BR-13083859 Campinas, SP - Brazil
[2] Univ Fed Rio de Janeiro, Inst Matemat, Dept Metodos Estat, BR-21941909 Rio De Janeiro - Brazil
[3] Princeton Univ, Dept Psychol, Princeton, NJ 08544 - USA
[4] Princeton Univ, Inst Neurosci, Princeton, NJ 08544 - USA
Total Affiliations: 4
Document type: Journal article
Source: Nonlinearity; v. 27, n. 9, p. 2281-2296, SEP 2014.
Web of Science Citations: 2

The aim of this paper is to explicitly compute parameters for which the Bramson-Kalikow (BK) model exhibits phase transition. The main ingredient of the proof is a simple new criterion for non-uniqueness of g-measures. We show that the existence of multiple g-measures compatible with a function g can be proved by estimating the (d) over bar -distances between some suitably chosen Markov chains. The method is optimal for the important class of binary regular attractive kernels, which includes the BK model. (AU)

FAPESP's process: 09/09809-1 - Stochastic processes with variable length memory: Monge-Kantorovich problem, bootstrap and particle systems
Grantee:Alexsandro Giacomo Grimbert Gallo
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 08/08171-0 - Modeling populations of neurons with multicomponent systems with variable range interactions
Grantee:Daniel Yasumasa Takahashi
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 13/10101-9 - Localization of random walks in random environment and molecular spiders
Grantee:Christophe Frédéric Gallesco
Support Opportunities: Regular Research Grants