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An Ergodic Description of Ground States
Language
en
Article de revue
This item was published in
Journal of Statistical Physics. 2015, vol. 158, p. 359 - 371
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Bounded-spin lattice system
Ergodic optimization
Ground state. Minimizing probability
Origin
Hal imported