Collision probability for random trajectories in two dimensions

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:119

Article

Gaudilliere, A.¹ 

[1] Univ Roma 3, Rome, Italy

关键词: Non-collision probability;    Potential theory;    Scale-invariance properties;    Kawasaki dynamics;   

DOI  :  10.1016/j.spa.2008.04.007

来源: Elsevier

【 摘 要 】

We give a lower bound for the non-collision probability Lip to it long time T in it system of n independent random walks with fixed obstacles on Z(2). By 'collision' we mean collision between the random walks as well as collision with the fixed obstacles. We give an analogous result for Brownian particles on the plane. As a corollary we show that the non-collision request leads only to logarithmic corrections for it spread-out property of the independent random walk system, (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free