Scaling limit for trap models on $\mathbb{Z}^d$

Details Scaling limit for trap models on $\mathbb{Z}^d$ Scaling limit for trap models on $\mathbb{Z}^d$

2006-06-28

arxiv.org/abs/math/0606719v2

Annals of Probability 2007, Vol. 35, No. 6, 2356-2384

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/009117907000000024 the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117907000000024

We give the ``quenched'' scaling limit of Bouchaud's trap model in ${d\ge
2}$. This scaling limit is the fractional-kinetics process, that is the time
change of a $d$-dimensional Brownian motion by the inverse of an independent
$\alpha$-stable subordinator.

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