Scaling limits for weakly pinned random walks with two large deviation minimizers

被引：5

作者：

Funaki, Tadahisa ^{[1
]}

Otobe, Tatsushi ^{[2
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Railway Tech Res Inst Kokubunji, Tokyo 1858540, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2010年 / 62卷 / 03期

关键词：

scaling limit; large deviation; random walks; pinning;

D O I：

10.2969/jmsj/06231005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The scaling limits for d-dimensional random walks perturbed by an attractive force toward the origin are studied under the critical situation that the rate functional of the corresponding large deviation principle admits two minimizers. Our results extend those obtained by [2] from the mean-zero Gaussian to non-Gaussian setting under the absence of the wall.

引用

页码：1005 / 1041

页数：37

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