Existence of quasi-stationary measures for asymmetric attractive particle systems on Zd

• 成果类型: Article
• 署名作者: Asselah, A; Castell, F
• 署名单位: Aix-Marseille Universite
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2003
• 页码: 1569-1590
• 关键词: invariant; chaos

摘要

We show the existence of nontrivial quasi-stationary measures for conservative attractive particle systems on Z(d) conditioned on avoiding an increasing local set A. Moreover, we exhibit a sequence of measures {nu(n)} whose omega-limit set consists of quasi-stationary measures. For zero-range processes, with stationary measure nu(rho), we prove the existence of an L-2(nu(rho)) nonnegative eigenvector for the generator with Dirichlet boundary on A, after establishing a priori bounds on the {nu(n)}.