论文标题

嵌套分形图上有沉重尾巴的随机电导模型

The random conductance model with heavy tails on nested fractal graphs

论文作者

Croydon, David A.

论文摘要

最近,Kigami的电阻形式框架已应用于提供一种具有分形尺度限制的图形随机步行尺度的通用方法。作为一个说明性的例子,本文介绍了在嵌套分形图上具有重尾的随机电导模型的应用。

Recently, Kigami's resistance form framework has been applied to provide a general approach for deriving the scaling limits of random walks on graphs with a fractal scaling limit. As an illustrative example, this article describes an application to the random conductance model with heavy tails on nested fractal graphs.

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