Davies-Gaffney-Grigor'yan Lemma on Graphs

math.DG

/ Authors

/ 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.

Davies-Gaffney-Grigor'yan Lemma on Graphs

math.DG

/ Authors

Frank Bauer, Bobo Hua, Shing-Tung Yau

/ 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.