ON THE TRANSIENCE OF RANDOM INTERLACEMENTS
ON THE TRANSIENCE OF RANDOM INTERLACEMENTS
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DOI：
10.1214/ecp.v16-1637
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发表时间：
2011-07-07
影响因子：
0.5
通讯作者：
Sapozhnikov, Artem
中科院分区：
文献类型：
--
作者：
Rath, Balazs;Sapozhnikov, Artem
我们考虑双无限Z(d)值轨迹模时移空间上的交错泊松点过程，在正无限次和负无限次趋于无穷。这些轨迹中至少有一条所访问的顶点和边的集合是由Sznitman[9]的u层上的随机交错所引起的图。我们证明了对于任意u b> 0，几乎可以肯定，随机交错图是暂态的。
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.