The quenched limiting distributions of a one-dimensional random walk in random scenery

被引：4

作者：

Guillotin-Plantard, Nadine ^{[1
]}

Hu, Yueyun ^{[2
]}

Schapira, Bruno ^{[3
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France

[2] Univ Paris 13, CNRS, UMR 7539, Dept Math,LAGA, F-93430 Villetaneuse, France

[3] Aix Marseille Univ, Ctr Math & Informat, Marseille, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2013年 / 18卷

关键词：

Random walk in random scenery; Weak limit theorem; Law of the iterated logarithm; Brownian motion in Brownian Scenery; Strong approximation; THEOREM;

D O I：

10.1214/ECP.v18-2918

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：

For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen [13]'s functional law of the iterated logarithm. As a consequence, conditioned on the random scenery, the one-dimensional RWRS does not converge in law, in contrast with the multi-dimensional case.

引用

页码：1 / 7

页数：7

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