| Full text | |
| Author(s): |
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, IME, Inst Math & Stat, Sao Paulo - Brazil
[2] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, Groningen - Netherlands
[3] Univ Paris Est UPEC, CNRS, UMR 8050, Lab Math & Anal Appl, LAMA, Creteil - France
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 363, n. 3, p. 767-788, NOV 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not g-measures. The main ingredient in the proof is the occurrence of an entropic repulsion effect, which follows from the mesoscopic stability of a (single-point) interface for these long-range models in the phase transition region. (AU) | |
| 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: | 16/25053-8 - Dynamics and geometry in low dimensions |
| Grantee: | André Salles de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/10637-9 - Combinatorial Problems in Ferromagnetic Models |
| Grantee: | Eric Ossami Endo |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| 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 |