Scaling limit for trap models on ℤd
Gérard Ben Arous and Jiří Černý
Source: Ann. Probab. Volume 35, Number 6
(2007), 2356-2384.
Abstract
We give the “quenched” scaling limit of Bouchaud’s trap model in d≥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 α-stable subordinator.
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Permanent link to this document: http://projecteuclid.org/euclid.aop/1191860424
Digital Object Identifier: doi:10.1214/009117907000000024
Zentralblatt MATH identifier: 1134.60064
Mathematical Reviews number (MathSciNet): MR2353391
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