Quenched large deviations for Glauber evolution with Kac interaction and Random Field

Olivier Benois 1 Mustapha Mourragui 1 Enza Orlandi 2 Ellen Saada 3 Livio Triolo 4
1 LMRS - Laboratoire de Mathématiques Raphaël Salem
2 Dipartimento di Matematica [Roma TRE]
3 MAP5 - MAP5 - Mathématiques Appliquées à Paris 5
4 DIPMAT - Dipartimento di Matematica [Roma II]
Abstract : We study a spin-flip model with Kac type interaction, in the presence of a random field given by i.i.d. bounded random variables. The system, spatially inhomogeneous, evolves according to a non conservative (Glauber) dynamics. We show an almost sure (with respect to the random field) large deviations principle for the empirical magnetizations of this process. The rate functional depends on the statistical properties of the external random field, it is lower semicontinuous with compact level sets.
Keywords : large deviations Interacting particle systems random environment Kac Interaction large deviations.
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Article dans une revue
Markov Processes and Related Fields, Polymath, 2012, 18 (2), pp.215-268
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Contributeur : Olivier Benois <>
Soumis le : lundi 7 mai 2012 - 13:54:53
Dernière modification le : mardi 11 octobre 2016 - 12:00:09
Document(s) archivé(s) le : mercredi 8 août 2012 - 02:31:09

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  • HAL Id : hal-00597252, version 3
  • ARXIV : 1105.6290

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Olivier Benois, Mustapha Mourragui, Enza Orlandi, Ellen Saada, Livio Triolo. Quenched large deviations for Glauber evolution with Kac interaction and Random Field. Markov Processes and Related Fields, Polymath, 2012, 18 (2), pp.215-268. <hal-00597252v3>

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