Continuity and uniqueness of percolation critical parameters in finitary random interlacements

被引：0
|
作者：
Cai, Zhenhao [1 ]
Procaccia, Eviatar B. [2 ]
Zhang, Yuan [1 ]
机构：
[1] Peking Univ, Beijing, Peoples R China
[2] Technion Israel Inst Technol, Haifa, Israel
来源：
ELECTRONIC JOURNAL OF PROBABILITY | 2022年 / 27卷
基金：
国家重点研发计划;
关键词：
finitary random interlacements; percolation; critical parameteres; PHASE-TRANSITION; SHARPNESS;
D O I：
10.1214/22-EJP824
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We prove that the critical percolation parameter for Finitary Random Interlacements (FRI) is continuous with respect to the path length parameter T. The proof uses a result which is interesting on its own right; equality of natural critical parameters for FRI percolation phase transition.
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页数：46
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