Sub-gaussian Estimates of Heat Kernels on Infinite Graphs

نویسندگان

  • ALEXANDER GRIGOR’YAN
  • ANDRAS TELCS
چکیده

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.

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تاریخ انتشار 2001