Friday, December 21, 2012

1212.5117 (Pierre Mathieu et al.)

Aging of asymmetric dynamics on the random energy model    [PDF]

Pierre Mathieu, Jean-Christophe Mourrat
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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