Volume growth, curvature, and Buser-type inequalities in graphs
International Mathematics Research Notices, 2019.
We study the volume growth of metric balls as a function of the radius in discrete spaces, and focus on the relationship between volume growth and discrete curvature. We improve volume growth bounds under a lower bound on the so-called Ollivier curvature, and discuss similar results under other types of discrete Ricci curvature. Followi...More
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