TalksRicci curvarure and heat kernel estimate on graphs
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By introducing the Ricci curvature lower bound on graphs, we prove the following result on graphs with non-negative Ricci curvature: The volume doubling and Poincare inequality, discrete-time heat kernel Gaussian estimate, parabolic Harnack inequality. These are the similar results on Riemannian manifold with non-negative Ricci curvature.
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Yong Lin
2014-05-07
14:30:00 - 15:30:00
R202 , Astronomy and Mathematics Building
By introducing the Ricci curvature lower bound on graphs, we prove the following result on graphs with non-negative Ricci curvature: The volume doubling and Poincare inequality, discrete-time heat kernel Gaussian estimate, parabolic Harnack inequality. These are the similar results on Riemannian manifold with non-negative Ricci curvature.