On the chemical distance for supercritical Bernoulli percolation

• 成果类型: Article
• 署名作者: Antal, P; Pisztora, A
• 署名单位: Harvard University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1996
• 页码: 1036-1048
• 关键词: phase

摘要

We prove large deviation estimates at the correct order for the graph distance of two sites lying in the same cluster of an independent percolation process. We improve earlier results of Gartner and Molchanov and Grimmett and Marstrand and answer affirmatively a conjecture of Kozlov.