Davies-Gaffney-Grigor'yan Lemma on Graphs
arXiv:1402.3457
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.
Minor modifications. Final version accepted in Communications in Analysis and Geometry