随机环境中单边二重随机游动的常返性The Recurrence of Single-side Double Random Walks in the Random Environment
任敏
摘要(Abstract):
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,研究了随机环境中单边二重随机游动的常返性.在随机环境满足一定的条件下给出二重随机游动的非常返、正常返、零常返和常返的判别准则.
关键词(KeyWords): 单边二重随机游动;随机环境;非常返;零常返;正常返
基金项目(Foundation): 国家自然科学基金面上项目(11371029);; 安徽省高校自然科学研究项目(KJ2016A770);; 宿州学院重点科研项目(2016yzd05);宿州学院教学研究项目(szxy2015jy09)
作者(Author): 任敏
DOI: 10.16393/j.cnki.37-1436/z.2018.02.001
参考文献(References):
- [1]Kozlov M V.Random Walk in a one Dimensional Random Medium[J].Theory Prob Appl,1973,18:387-388.
- [2]Solomon F.Random walk in a random environment[J].Ann.Prob.1975,3:1-31.
- [3]Cogburn R.Markov Chains in Random Environments the Case of Markov Enviro-nments[J].Ann Probab,1980,66:109-128.
- [4]Cogburn R.The Ergodic Theory of Markov Chains in Random Environments[J].Z Wahrach Verw Gebiete,1984,66:109-128.
- [5]Cogburn R.On Direct Convergence and Periodicity for Transition Probabilities of Markov Chains in Random Environments[J].Ann Probab,1990,18:642-654.
- [6]Alili S.Peresistent random walks in stationary environment[J].Journal of Statistical Physics,1999,94(3):469-494.
- [7]Szase D.Toth B.Peresist random walks in one-dimensional random environment[J].Journal of Statistical Physics,1984,37(1):28-38.
- [8]汪荣明.关于随机环境中二重生灭链的马氏性[J].安徽师范大学学报.1992,2:11-18.
- [9]郑希民.随机环境中单边二重生灭链的常返性[J].武汉大学学报理学版.2007,53(1):17-20.