Diffusive clustering of interacting Brownian motions on Z2
[摘要] In this paper we investigate the cluster behavior of linearly interacting Brownian motions indexed by Z(2). We show that (on a logarithmic scale) the block average process converges in path space to Brownian motion. (C) 2000 Elsevier Science B.V. All rights reserved.
[发布日期] 2000-10-01 [发布机构]
[效力级别] [学科分类]
[关键词] interacting particle systems;longtime behavior;pathwise convergence;Gaussian processes [时效性]