Zero-temperature phase diagram for double-well type potentials in the summable variation class
| hal.structure.identifier | Institute of Mathematics and Statistics [Sao Paulo] [IME-USP] | |
| dc.contributor.author | BISSACOT, Rodrigo | |
| hal.structure.identifier | Instituto de Matemática, Estatística e Computação Científica [Brésil] [IMECC] | |
| dc.contributor.author | GARIBALDI, Eduardo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | THIEULLEN, Philippe | |
| dc.date.accessioned | 2024-04-04T03:05:15Z | |
| dc.date.available | 2024-04-04T03:05:15Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0143-3857 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193229 | |
| dc.description.abstractEn | We study the zero-temperature limit of the Gibbs measures of a class of long-range potentials on a full shift of two symbols {0, 1}. These potentials were introduced by Walters as a natural space for the transfer operator. In our case, they are constant on a countable infinity of cylinders, and Lipschitz continuous or, more generally, of summable variation. We assume there exists exactly two ground states: the fixed points 0 ∞ and 1 ∞. We fully characterize, in terms of the Peierls barrier between the two ground states, the zero-temperature phase diagram of such potentials, that is, the regions of convergence or divergence of the Gibbs measures as the temperature goes to zero. | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.title.en | Zero-temperature phase diagram for double-well type potentials in the summable variation class | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| bordeaux.journal | Ergodic Theory and Dynamical Systems | |
| bordeaux.volume | 38 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01869266 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01869266v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Ergodic%20Theory%20and%20Dynamical%20Systems&rft.date=2018&rft.volume=38&rft.issue=3&rft.eissn=0143-3857&rft.issn=0143-3857&rft.au=BISSACOT,%20Rodrigo&GARIBALDI,%20Eduardo&THIEULLEN,%20Philippe&rft.genre=article |
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