ON THE TRANSIENCE OF RANDOM INTERLACEMENTS

被引：25

作者：

Rath, Balazs ^{[1
]}

Sapozhnikov, Artem ^{[1
]}

机构：

[1] ETH, Dept Math, CH-8092 Zurich, Switzerland

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2011年 / 16卷

关键词：

Random interlacement; transience; random walk; resistance; intersection of random walks; capacity; PERCOLATION;

D O I：

10.1214/ECP.v16-1637

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 consider the interlacement Poisson point process on the space of doubly-infinite Z(d)-valued trajectories modulo time-shift, tending to infinity at positive and negative infinite times. The set of vertices and edges visited by at least one of these trajectories is the graph induced by the random interlacements at level u of Sznitman [9]. We prove that for any u > 0, almost surely, the random interlacement graph is transient.

引用

页码：379 / 391

页数：13

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