Convergence of Dirichlet forms induced on boundaries of transient networks

Convergence of Dirichlet forms induced on boundaries of transient networks
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瞬态网络边界上诱导的狄利克雷形式的收敛

DOI：
10.1007/s11118-017-9613-2
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发表时间：
2017
期刊：
Potential Anal.
影响因子：
--
通讯作者：
Atsushi Kasue
Atsushi Kasue
中科院分区：
--
文献类型：
--
作者：
A. Croydon;B.M. Hambly and T. Kumagai;山本量一;竹延 大志;ARAKAWA Tomoyuki;Atsushi Kasue

文献摘要

相似文献

本文在具有有限Dirichlet和的函数组成的Hilbert空间中研究了连通暂态网络的Kuramochi边界，并证明了随着连通有限子集的增大使网络耗尽，在网络莫斯科-的连通有限子集的边界上导出的Dirichlet形式收敛于Kuramochi边界上导出的Dirichlet形式。
In this paper, the Kuramochi boundary of a connected transient network is studied in connection with the Hilbert space consisting of functions with finite Dirichlet sum, and it is proved that the Dirichlet form induced on the boundary of a connected finite subset of the network Mosco-converges to that on the Kuramochi boundary as the connected finite subset increases to exhaust the network.