APDE seminar@BCAM: Volume Doubling in graphs with nonnegative curvature

Abstract

Let G be a discrete infinite graph with bounded geometry, endowed with a standard Laplacian. Assuming that the curvature of G (in the sense of Bakry–Émery) is nonnegative, we show that the volume of balls satisfies the doubling property, as in the case of Riemannian manifolds. This is a joint work with Hervé Pajot.