THE DIMENSIONS OF THE RANGE OF RANDOM WALKS IN TIME-RANDOM ENVIRONMENTS

被引：0
|
作者：
张晓敏
胡迪鹤
机构：
[1] Faculty of Science Ningbo University Ningbo 315211
[2] China
[3] School of Mathematics and Statistics Wuhan University
[4] Wuhan 430072
来源：
ActaMathematicaScientia | 2006年 / 04期
关键词：
Random walks in time-random environments; discrete fractal; Hausdorff dimension; Packing dimension;
D O I：
暂无
中图分类号：
O211.6 [随机过程];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Suppose {Xn} is a random walk in time-random environment with state space Zd,|Xn| approaches infinity, then under some reasonable conditions of stability, the upper bound of the discrete Packing dimension of the range of {Xn} is any stability index a. Moreover, if the environment is stationary, a similar result for the lower bound of the discrete Hausdorff dimension is derived. Thus, the range is a fractal set for almost every environment.
引用
收藏
页码：615 / 628
页数：14
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