Scaling limit for trap models on $\mathbb{Z}^d$
Probability
2011-11-09 v2 Mathematical Physics
math.MP
Abstract
We give the ``quenched'' scaling limit of Bouchaud's trap model in . This scaling limit is the fractional-kinetics process, that is the time change of a -dimensional Brownian motion by the inverse of an independent -stable subordinator.
Cite
@article{arxiv.math/0606719,
title = {Scaling limit for trap models on $\mathbb{Z}^d$},
author = {Gérard Ben Arous and Jiří Černý},
journal= {arXiv preprint arXiv:math/0606719},
year = {2011}
}
Comments
Published in at http://dx.doi.org/10.1214/009117907000000024 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)