Sharp Davies-Gaffney-Grigor'yan Lemma on Graphs
Frank Bauer, Bobo Hua, Shing-Tung Yau
TL;DR
This paper establishes a precise version of the Davies-Gaffney-Grigor'yan lemma for minimal heat kernels on graphs, advancing the theoretical understanding of heat kernel behavior in graph structures.
Contribution
It provides the first sharp form of the Davies-Gaffney-Grigor'yan lemma specifically for heat kernels on graphs, filling a gap in the theoretical framework.
Findings
Proved the sharp Davies-Gaffney-Grigor'yan lemma for minimal heat kernels on graphs.
Enhanced the theoretical understanding of heat kernel estimates on graphs.
Established foundational results for future research in graph heat kernel analysis.
Abstract
In this note, we prove the sharp Davies-Gaffney-Grigor'yan lemma for minimal heat kernels on graphs.
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