EXPONENTIAL WAITING TIME FOR A BIG GAP IN A ONE-DIMENSIONAL ZERO-RANGE PROCESS

• 成果类型: Article
• 署名作者: FERRARI, PA; GALVES, A; LANDIM, C
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite de Rouen Normandie
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988860
• 发表日期: 1994
• 页码: 284-288
• 关键词: simple exclusion

摘要

The first time that the N sites to the right of the origin become empty in a one-dimensional zero-range process is shown to converge exponentially fast, as N --> infinity, to the exponential distribution, when divided by its mean. The initial distribution of the process is assumed to be one of the extremal invariant measures nu(rho), rho is-an-element-of(0, 1), with density rho/(1 - rho). The proof is based on the classical Burke theorem.