Scaling limit for trap models on ℤd

Gérard Ben Arous; Jiří Černý

doi:10.1214/009117907000000024

Scaling limit for trap models on ℤ^d

Gérard Ben Arous, Jiří Černý

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2356-2384
Number of pages	29
Journal	Annals of Probability
Volume	35
Issue number	6
DOIs	https://doi.org/10.1214/009117907000000024
State	Published - 2007

Keywords

Fractional kinetics
Levy process
Random walk
Scaling limit
Subordination
Trap model

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/009117907000000024

Cite this

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keywords = "Fractional kinetics, Levy process, Random walk, Scaling limit, Subordination, Trap model",

author = "Arous, {G{\'e}rard Ben} and Ji{\v r}{\'i} {\v C}ern{\'y}",

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