Surviving ends in Bernoulli percolation on graphs roughly isometric to a tree
Surviving ends in Bernoulli percolation on graphs roughly isometric to a tree
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DOI：
10.1016/j.spl.2022.109378
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Lang Zou
中科院分区：
文献类型：
--
作者：
Kainan Xiang;Lang Zou
Let G be an infinite locally-finite connected graph roughly isometric to a tree, and o a.fixed vertex of G. Given any p ∈ (0, 1). Then under a mild condition, the number of.surviving ends under Bernoulli-p bond percolation ω on G a.s. either is 0 or has the.cardinality of the continuum; which generalizes Proposition 5.27 in Lyons and Peres.(2016) from a viewpoint of rough isometry. Here a surviving end is an end of G induced.by a surviving ray from o in the ω.
