Scaling limit for trap models on zd

被引：68

作者：

Ben Arous, Gerard

Cerny, Jiri

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] Ecole Polytech Fed Lausanne, Stn 14 CMOS, CH-1015 Lausanne, Switzerland

来源：

ANNALS OF PROBABILITY | 2007年 / 35卷 / 06期

关键词：

D O I：

10.1214/009117907000000024

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 alpha-stable subordinator.

引用

页码：2356 / 2384

页数：29

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