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Aging of asymmetric dynamics on the random energy model

Mathieu, Pierre ; Mourrat, Jean-Christophe

In: Probability Theory and Related Fields, 2015, vol. 161, no. 1-2, p. 351-427

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    Titre
    • Aging of asymmetric dynamics on the random energy model
    Auteur
    • Mathieu, Pierre. Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453, Marseille, France
    • Mourrat, Jean-Christophe. Ecole polytechnique fédérale de Lausanne, Institut de mathématiques, Station 8, 1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Probability Theory and Related Fields, 2015, vol. 161, no. 1-2, p. 351-427. Springer Berlin Heidelberg
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:332759
    Summary
    We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the annealed scaling limits of the clock process and of the age process. The latter encodes the Gibbs weight of the configuration occupied by the dynamics. Both limits are expressed in terms of stable subordinators.