Continuous time 'true' self-avoiding random walk on Z

被引：0

作者：

Toth, Balint ^{[1
]}

Veto, Balint ^{[1
]}

机构：

[1] Budapest Univ Technol BME, Inst Math, H-1111 Budapest, Hungary

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2011年 / 8卷

关键词：

self-repelling random walk; one dimension; local time; limit theorems; Ray-Knight approach; super-diffusive behaviour;

D O I：

暂无

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 consider the continuous time version of the 'true' or 'myopic' self-avoiding random walk with site repulsion in 1d. The Ray Knight-type method which was applied in (Toth, 1995) to the discrete time and edge repulsion case is applicable to this model with some modifications. We present a limit theorem for the local time of the walk and a local limit theorem for the displacement.

引用

页码：59 / 75

页数：17

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