Z上随机环境中暂态随机游走波动的淬灭极限
概率论
2013-04-16 v3
摘要
我们考虑Z上随机环境中的最近邻暂态随机游走。对于一组概率随时间趋于1的环境，我们描述了水平n的首达时间围绕其均值的波动，该波动是环境的显式函数。此外，它们的极限律通过一个泊松点过程描述，其强度被计算出来。这一结果可视为Kesten、Kozlov和Spitzer [Compositio Math. 30 (1975) 145-168]经典结果的淬灭类比。
引用
@article{arxiv.1012.1959,
title = {Quenched limits for the fluctuations of transient random walks in random environment on Z},
author = {Nathanaël Enriquez and Christophe Sabot and Laurent Tournier and Olivier Zindy},
journal= {arXiv preprint arXiv:1012.1959},
year = {2013}
}
备注
Published in at http://dx.doi.org/10.1214/12-AAP867 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org). arXiv admin note: substantial text overlap with arXiv:1004.1333