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We show aging of Glauber-type dynamics on the random energy model, inthe sense that we obtain the annealed scaling limits of the clock process and of theage process. The latter encodes the Gibbs weight of the configuration occupied by thedynamics. Both limits are expressed in terms of stable subordinators.
Christian Michael Wolff, Austin George Kuba
Johan Auwerx, Xiaoxu Li, Hao Li, Tanes Imamura de Lima, Martin Rainer Wohlwend, Jean-David Horacio Morel, Ludger Jan Elzuë Goeminne, Mario Romani, Pirkka-Pekka Untamo Laurila, Sandra Rodriguez Lopez, Dohyun Park