Davies-Gaffney-Grigor'yan Lemma on Graphs
Differential Geometry
2015-11-30 v2
Abstract
We prove a variant of the Davies-Gaffney-Grigor'yan Lemma for the continuous time heat kernel on graphs. We use it together with the Li-Yau inequality to obtain strong heat kernel estimates for graphs satisfying the exponential curvature dimension inequality.
Keywords
Cite
@article{arxiv.1402.3457,
title = {Davies-Gaffney-Grigor'yan Lemma on Graphs},
author = {Frank Bauer and Bobo Hua and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1402.3457},
year = {2015}
}
Comments
Minor modifications. Final version accepted in Communications in Analysis and Geometry