| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
[2] Univ Bordeaux 1, Inst Math, CNRS, UMR 5251, F-133405 Bordeaux - France
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 158, n. 2, p. 359-371, JAN 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
Given a translation-invariant Hamiltonian , a ground state on the lattice is a configuration whose energy, calculated with respect to , 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 is the mean contribution of all interactions to the site , we show that any configuration of the support of a minimizing measure is necessarily a ground state. (AU) | |
| FAPESP's process: | 09/17075-8 - Quasicrystals and Aubry-Mather Theory |
| Grantee: | Eduardo Garibaldi |
| Support Opportunities: | Regular Research Grants |