Sub-Gaussian estimates of heat kernels on infinite graphs, to appera in Duke Math
Sub-Gaussian estimates of heat kernels on infinite graphs, to appera in Duke Math
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DOI：
10.1215/s0012-7094-01-10932-0
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发表时间：
2001-09
期刊：
影响因子：
--
通讯作者：
A. Grigor’yan;A. Telcs
中科院分区：
文献类型：
--
作者：
A. Grigor’yan;A. Telcs
证明了当且仅当一个无限加权图的体积增长是一致多项式且格林核有一致多项式衰减时，该图上的热核有一个双面亚高斯估计。
We prove that a two-sided sub-Gaussian estimate of the heat kernel on an infinite weighted graph takes place if and only if the volume growth of the graph is uniformly polynomial and the Green kernel admits a uniform polynomial decay.