Stationary blocking measures for one-dimensional nonzero mean exclusion processes
成果类型：
Article
署名作者：
Bramson, M; Mountford, T
署名单位：
University of Minnesota System; University of Minnesota Twin Cities; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2002
页码：
1082-1130
关键词：
摘要：
The product Bernoulli measures rho(alpha) with densities alpha, alpha is an element of [0, 1], are the extremal translation invariant stationary measures for an exclusion process with irreducible random walk kernel p((.)). In d = 1, stationary measures that are not translation invariant are known to exist for specific p((.)) satisfying Sigma(x) xp(x) > 0. These measures are concentrated on configurations that are completely occupied by particles far enough to the right and are completely empty far enough to the left; that is, they are blocking measures. Here, we show stationary blocking measures exist for all exclusion processes in d = 1, with p((.)) having finite range and Sigma(x) xp(x) > 0.