Sub-Gaussian bound for the one-dimensional Bouchaud trap model

被引：2

作者：

Cabezas, Manuel ^{[1
]}

机构：

[1] Inst Nacl Matemat Pura & Aplicada, Rio De Janeiro, Brazil

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2015年 / 29卷 / 01期

关键词：

Bouchaud trap model; FIN diffusion; Ray-Knight Theorem; RANDOM ENERGY-MODEL; GLAUBER DYNAMICS; SCALING LIMITS; AGING REGIMES; Z(D);

D O I：

10.1214/13-BJPS231

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 establish a sub-Gaussian lower bound for the transition kernel of the one-dimensional, symmetric Bouchaud trap model, which provides a positive answer to the behavior predicted by Bertin and Bouchaud in (Phys. Rev. E (3) 67 (2013) 026128). The proof rests on the Ray Knight description of the local time of a one-dimensional Brownian motion. Using the same ideas, we also prove the corresponding result for the FIN singular diffusion.

引用

页码：112 / 131

页数：20

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