直线上依分布收敛的独立随机环境中的随机游动

直线上依分布收敛的独立随机环境中的随机游动 Random Walks in an Independent Random Environment Convergence in Distribution on the Line 任敏 REN Min 1 first-author 费时龙 FEI Shilong 1 宿州学院应用数学系 宿州学院应用数学系 Department of Applied Mathematics,Suzhou University Department of Applied Mathematics,Suzhou University 给出了环境仅独立时直线上随机游动的模型,在假定此环境满足一定的条件下,证明了一个强大数定律,并运用该定律讨论了过程常返性及非常返的判定. A model of random walks in random environments on the whole line is presented. Under some special conditions,a strong law of large numbers is proven,and then applied it to discuss its recurrence and transience. 随机环境 随机游动 强大数定律 常返 非常返 random environments random walks strong law of large numbers recurrence transience 10.14188/j.1671-8836.2010.04.004 O211.62 数学天元青年基金资助项目（10726075）;安徽省高等学校优秀青年人才基金资助项目（2010SQRL194）;宿州学院校级自然科学研究项目（2009yzk19）;宿州学院教研项目（szxyjy200809） 2010-04-01 2021-04-01 4 56