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

Fontes, L. R. G.; Mathieu, P.

Ann. Probab., Tome 36 (2008) no. 1, p. 1322-1358 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-07-15
Classification: K-process, processes in denumerable state spaces, scaling limit, trap models, random energy model, aging, 60K35, 60K37, 82C44

@article{1217360971,
     author = {Fontes, L. R. G. and Mathieu, P.},
     title = {K-processes, scaling limit and aging for the trap model in the complete graph},
     journal = {Ann. Probab.},
     volume = {36},
     number = {1},
     year = {2008},
     pages = { 1322-1358},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1217360971}
}

Fontes, L. R. G.; Mathieu, P. K-processes, scaling limit and aging for the trap model in the complete graph. Ann. Probab., Tome 36 (2008) no. 1, pp.  1322-1358. http://gdmltest.u-ga.fr/item/1217360971/