A NOTE ON THE INHOMOGENEOUS PERCOLATION

• 成果类型: Note
• 署名作者: YU, Z
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1994
• 页码: 803-819
• 关键词: INEQUALITIES; probability

摘要

Consider a special independent bond percolation model on Z2, in which all bonds with vertices in the X axis are open with probability delta and closed with probability 1 - delta, and all other bonds are open with probability p and closed with probability 1 - p. In this paper we show that no percolation occurs at p(c) for any delta < 1. The method allows us also to show no percolation at p(c) in a more general inhomogeneous case.