Mixed percolation as a bridge between site and bond percolation

• 成果类型: Article
• 署名作者: Chayes, L; Schonmann, RH
• 署名单位: University of California System; University of California Los Angeles
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2000
• 页码: 1182-1196
• 关键词: models; ferromagnets; dilute

摘要

By using mixed percolation as a bridge between site and band percolation, me derive a nem inequality between the critical points of these processes that is optimal in a certain sense, We also extend a result on the crossover exponent of bond-diluted Potts models to site-diluted Potts models. Same new results about the critical line in mixed percolation are also proved.