Branching and tree indexed random walks on fractals

Branching and tree indexed random walks on fractals
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分形上的分支和树索引随机游走

DOI:
10.1239/jap/1032374750
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发表时间:
1999
影响因子:
1
通讯作者:
N. Wormald
N. Wormald
中科院分区:
数学4区
文献类型:
--
作者:
A. Telcs;N. Wormald

文献摘要

被引文献

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本文研究了多项式增长图上分枝随机游动的常返性。除其他事项外,我们证明了强复发树索引随机游动的球对称图的电阻特性所决定的。几个分支行走模型被认为是显示如何分支机制影响的复发行为。
This paper deals with the recurrence of branching random walks on polynomially growing graphs. Amongst other things, we demonstrate the strong recurrence of tree indexed random walks determined by the resistance properties of spherically symmetric graphs. Several branching walk models are considered to show how the branching mechanism influences the recurrence behaviour.