Uniqueness of the infinite entangled component in three-dimensional bond percolation

• 成果类型: Article
• 署名作者: Häggström, O
• 署名单位: Chalmers University of Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1008956325
• 发表日期: 2001
• 页码: 127-136
• 关键词: graphs; MONOTONICITY; EXISTENCE; clusters; models

摘要

We prove uniqueness of the infinite entangled component for bond percolation on the three-dimensional cubic lattice above the entanglement critical probability. This improves earlier results by Grimmett and Holroyd.