具有消失电导的高尔顿-沃森树的随机漫步速度

arXiv: Probability Pub Date : 2020-11-20 DOI:10.1214/21-ejp645

Tabea Glatzel, J. Nagel

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摘要

本文考虑具有随机电导的高尔顿-沃森树上的随机漫步。在这些树上，步行者到根的距离满足大数定律，限制了有效速度或步行速度。我们研究了速度作为电导分布的函数的规律性，特别是当电导分布收敛到一个非椭圆极限时。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The speed of random walk on Galton-Watson trees with vanishing conductances

In this paper we consider random walks on Galton-Watson trees with random conductances. On these trees, the distance of the walker to the root satisfies a law of large numbers with limit the effective velocity, or speed of the walk. We study the regularity of the speed as a function of the distribution of conductances, in particular when the distribution of conductances converges to a non-elliptic limit.

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arXiv: Probability

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