K-processes, scaling limit and aging for the trap model in the complete graph

Details K-processes, scaling limit and aging for the trap model in the complete graph K-processes, scaling limit and aging for the trap model in the complete graph

2008-08-26

arxiv.org/abs/0808.3494v1

Annals of Probability 2008, Vol. 36, No. 4, 1322-1358

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AOP360 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/07-AOP360

We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform distribution. We show how these processes arise, in a particular instance, as scaling limits of the trap model in the complete graph, and subsequently derive aging results for those models in this context.

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