K-processes, scaling limit and aging for the REM-like trap model
Probability
2007-05-23 v2
Abstract
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 REM-like trap model ``at low temperature'', and subsequently derive aging results for those models in this context.
Cite
@article{arxiv.math/0603198,
title = {K-processes, scaling limit and aging for the REM-like trap model},
author = {Luiz Renato Fontes and Pierre Mathieu},
journal= {arXiv preprint arXiv:math/0603198},
year = {2007}
}
Comments
31 pages