Davies-Gaffney-Grigor'yan Lemma on Graphs

Published 14 Feb 2014 in math.DG | (1402.3457v2)

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.

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