| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [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 |
| Abstract | |
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 |