独立渐进随机环境中随机行走

独立渐进随机环境中随机行走 Random Walks in an Indepdent Asymptotic Random Environment 毛明志 MAO Ming-zhi~1 1 2 3 first-author 李家雄 LI Jia-xiong~2 1 2 3 中国地质大学数理系 中国地质大学数理系 Mathematics and Physics Department,China University of Geoscience Mathematics and Physics Department,China University of Geoscience 湖北工业大学理学院,湖北,武汉,430074 湖北工业大学理学院,湖北,武汉,430074 College of Science,Hubei University of Technology College of Science,Hubei University of Technology ,湖北,武汉,430068 ,湖北,武汉,430068 讨论了一类独立但不一定同分布随机环境中随机行走的常返性和非常返性,进而研究了常返性中的正常返,以及在它们基础上逃逸速度的极限性质,从而推广了Solmn的理论框架. Let random environment be a independent but need identically distributed real random Variables with asymptotic distribution.We consider the recurrence and nonrecurrcnce of random walks,then tarths stuly positivc recurrence and limits properties of escape speed on it.By this means,we can extend the trame Solomn has studied. 随机环境 随机行走 大数定律 常返性 马尔可夫链 O211.6 国家自然科学基金资助项目（10071058） 2005-03-01 2021-04-01 3