A correlation inequality for connection events in percolation

• 成果类型: Article
• 署名作者: van den Berg, J; Kahn, J
• 署名单位: Rutgers University System; Rutgers University New Brunswick; Rutgers University System; Rutgers University New Brunswick
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2001
• 页码: 123-126
• 关键词: sets

摘要

It is well-known in percolation theory (and intuitively plausible) that two events of the form there is an open path from s to a are positively correlated. We prove the (not intuitively obvious) fact that this is still true if we condition on an event of the form there is no open path from s to t..