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

Abstract

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.

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)

References in corpus (2)

• Dynamics of trap models
• K-processes, scaling limit and aging for the REM-like trap model

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