Aging of asymmetric dynamics on the random energy model

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.

56 pages, 1 figure, v2: minor corrections and clarifications

References in corpus (3)

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• Universality of trap models in the ergodic time scale