ALGEBRAIC L(2) DECAY OF ATTRACTIVE CRITICAL PROCESSES ON THE LATTICE

• 成果类型: Article
• 署名作者: DEUSCHEL, JD
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988859
• 发表日期: 1994
• 页码: 264-283
• 关键词: nearest particle-systems; CONVERGENCE

摘要

We consider a special class of attractive critical processes based on the transition function of a transient random walk on Z(d). These processes have infinitely many invariant distributions and no spectral gap. The exponential L2 decay is replaced by an algebraic L2 decay. The paper shows the dependence of this algebraic rate in terms of the dimension of the lattice and the locality of the functions under consideration. The theory is illustrated by several examples dealing with locally interacting diffusion processes and independent random walks.