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.

引用

页数：46

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