Ornstein-Zernike theory for the Bernoulli bond percolation on Zd

• 成果类型: Article
• 署名作者: Campanino, M; Ioffe, D
• 署名单位: University of Bologna; Technion Israel Institute of Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 652-682
• 关键词: connectivities; fluctuations; models; shape

摘要

We derive a precise Ornstein-Zernike asymptotic formula for the decay of the two-point function P-p(0 <----> x) of the Bernoulli bond percolation on the integer lattice Z(d) in any dimension d greater than or equal to 2, in any direction x and for any subcritical value of p < p(c)(d).