一类一般随机环境中单边二重随机游动的常返性  

Recurrence of Single Side Random Walks ofOrder 2 in General Random Environment

作　　者：张培 ZHANG Pei(School of Mathematics and Statistics,Suzhou University,Suzhou 234000,Anhui,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《兰州文理学院学报（自然科学版）》2021年第4期5-8,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：安徽省高校自然科学研究重点项目(KJ2019A0666,KJ2020A0731);宿州学院重点科研项目(2019yzd08,2019yzd07,2019yzd17);安徽省高校优秀青年人才支持计划项目(gxyq2019100)。

摘　　要：随机环境中的单边二重随机游动是随机环境中随机游动的推广.讨论一般随机环境中单边二重随机游动的常返性,并且在环境满足一定的条件下给出二重随机游动的常返、正常返、零常返和非常返的判别准则.Single side random walks of order 2 in random environment are the extension of random walks in general random environment.In this paper the recurrence of single side random walks of order 2 in random environment is discussed.The criteria of recurrence,positive recurrence,null recurrence and transience of single side random walks of order 2 are given under the environment that satisfies certain conditions.

关 键 词：单边二重随机游动 随机环境 正常返 非常返 零常返 

分 类 号：O211.62[理学—概率论与数理统计]