A Limit Theorem for Brownian Motion in a Random Scenery-Reference-Cited by-同舟云学术

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A Limit Theorem for Brownian Motion in a Random Scenery

Published:1991-09-01 Issue:3 Volume:34 Page:385-391
ISSN:0008-4395
Container-title:Canadian Mathematical Bulletin
language:en
Short-container-title:Can. math. bull.

Author:

Remillard Bruno,Dawson Donald A.

Abstract

AbstractWe find the limiting distribution of , where {Bu}u≧0 is the standard Brownian motion on ℝd, V is a particular random potential and {an}n≧1 is a normalizing sequence.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Weak convergence approach for parabolic equations with large, highly oscillatory, random potential;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2016-02-01

2. Limiting models for equations with large random potential: A review;Communications in Mathematical Sciences;2015

3. Homogenization of parabolic equations with large time-dependent random potential;Stochastic Processes and their Applications;2015-01

4. An invariance principle for Brownian motion in random scenery;Electronic Journal of Probability;2014-01-01

5. The length of the longest head-run in a model with long range dependence;Journal of Theoretical Probability;2001

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