Voter model in a random environment in Zd

作     者：Zhichao SHAN Dayue CHEN Zhichao SHAN;Dayue CHEN

作者机构：School of Mathematical Sciences Peking University Beijing 100871 China Center for Statistical Science Peking University Beijing 100871 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2012年第7卷第5期

页      面：895-905页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：supported in part by the National Basic Research Program of the Ministry of Science and Technology of China 

主　　题：Voter model random walk random environment duality 

摘      要：We consider the voter model with flip rates determined by {ue, e ∈ Ed}, where Ed is the set of all non-oriented nearest-neighbour edges in the Euclidean lattice Zd. Suppose that {ue, e ∈ Ed} are independent and identically distributed （i.i.d.） random variables satisfying ue ≥ 1. We prove that when d = 2, almost surely for all random environments, the voter model has only two extremal invariant measures： δ0 and δ1.