Communications in Analysis and Geometry
Volume 23 (2015)
Davies–Gaffney–Grigor’yan Lemma on graphs
Pages: 1031 – 1068
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.