Moduli of continuity of local times of random walks on graphs in terms of the resistance metric
Moduli of continuity of local times of random walks on graphs in terms of the resistance metric
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DOI：
10.1112/tlms/tlv003
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发表时间：
2014-05
影响因子：
0.8
通讯作者：
D. Croydon
中科院分区：
文献类型：
--
作者：
D. Croydon
本文利用阻力度量建立了加权图上随机游动局部时的泛集中估计。作为这些的一个特定应用，当所讨论的图相对于电阻度量满足一定的体积增长条件时，提供局部时间的连续性模量。此外，它解释了如何将这些结果可以应用到自相似分形，他们被证明是有用的导出局部时间的标度限制和覆盖时间分布的渐近界。
In this article, universal concentration estimates are established for the local times of random walks on weighted graphs in terms of the resistance metric. As a particular application of these, a modulus of continuity for local times is provided in the case when the graphs in question satisfy a certain volume growth condition with respect to the resistance metric. Moreover, it is explained how these results can be applied to self‐similar fractals, for which they are shown to be useful for deriving scaling limits for local times and asymptotic bounds for the cover time distribution.