Aging of asymmetric dynamics on the random energy model

2012/12/20 by Mathieu, Pierre, Mourrat, Jean-Christophe
#60K37 #82C44 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.1212.5117

Abstract

We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the 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.

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