An Ergodic Description of Ground States
| hal.structure.identifier | Universidade Estadual de Campinas = University of Campinas [UNICAMP] | |
| dc.contributor.author | GARIBALDI, Eduardo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | THIEULLEN, Philippe | |
| dc.date.accessioned | 2024-04-04T03:17:19Z | |
| dc.date.available | 2024-04-04T03:17:19Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194297 | |
| dc.description.abstractEn | Given a translation-invariant Hamiltonian H , a ground state on the lattice Z d is a configuration whose energy, calculated with respect to H , cannot be lowered by altering its states on a finite number of sites. The set formed by these configurations is translation-invariant. Given an observable defined on the space of configurations, a minimizing measure is a translation-invariant probability which minimizes the average of. If 0 is the mean contribution of all interactions to the site 0, we show that any configuration of the support of a minimizing measure is necessarily a ground state. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Bounded-spin lattice system | |
| dc.subject.en | Ergodic optimization | |
| dc.subject.en | Ground state. Minimizing probability | |
| dc.title.en | An Ergodic Description of Ground States | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10955-014-1139-z | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| bordeaux.journal | Journal of Statistical Physics | |
| bordeaux.page | 359 - 371 | |
| bordeaux.volume | 158 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01213721 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01213721v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Statistical%20Physics&rft.date=2015&rft.volume=158&rft.spage=359%20-%20371&rft.epage=359%20-%20371&rft.eissn=0022-4715&rft.issn=0022-4715&rft.au=GARIBALDI,%20Eduardo&THIEULLEN,%20Philippe&rft.genre=article |
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