The number of ends of critical branching random walks

The number of ends of critical branching random walks
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DOI:
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发表时间:
2014-01
期刊:
arXiv: Probability
影响因子:
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通讯作者:
Elisabetta Candellero;Matthew I. Roberts
Elisabetta Candellero;Matthew I. Roberts
中科院分区:
其他
文献类型:
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作者:
Elisabetta Candellero;Matthew I. Roberts

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研究了图上分支随机游动迹的拓扑端点数,证明了在许多对称情形下,分支随机游动迹的拓扑端点数是无穷多的。然后,我们描述了一些BRW只有一个结束,并得出结论与一些开放的问题。
We investigate the number of topological ends of the trace of branching random walk (BRW) on a graph, showing that in many symmetric cases there are infinitely many ends. We then describe some BRWs which have just one end, and conclude with some open problems.