关于一维排它过程平稳blocking测度的存在性
The Existence of Stationary Blocking Measuresfor One Dimensional Exclusion Processes
摘要
本文证明了具有非平移不变转移速率p(x ,y)的一维排它过程平稳blocking测度的存在性 ,推广了文献 [5]中的有关结果 .
The existence of stationary Blocking measures for one dimension exclusion processes with nontranslation invariant transition rate p(x,y) is proved.The result extends the related theorem in [5].
出处
《应用数学》
CSCD
北大核心
2004年第3期417-423,共7页
Mathematica Applicata
基金
安徽省教委自然科学研究项目 (2 0 0 1KJ10 6 )
参考文献6
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1Liggett T M. Stochastic interacting systems:contact voter and exclusion process[M]. Berlin:Springer-Verlag, 1999.
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2Bramson M, Moutford T. Stationary blocking measures for one-dimensional nonzero mean exclusion process[J]. Ann. probab. , 2002,30 : 1082 - 1130.
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3Ferrari P A, Lebowitz J L,Speer E. Blocking measures for asymmetric exclusion process via coupling[J].Bernoulli, 2001,7:935 -950.
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4Bramson M, Liggett T M, Moutford T. Characterization of stationary measures for one dimensional exclusion process[J]. Ann. Probab. , 2002,30:1539 -1575.
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5Liggett T M. Coupling the simple exclusion process[J]. Ann. Probab. , 19 7 6,4:339-356.
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6Liggett T M. Interacting particle systems[M]. Berlin.. Springer-Verlag, 1985.
