Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians
Abstract
In this article, we prove gradient estimates under Bakry-Emery curvature bounds for unbounded graph Laplacians which satisfy an ellipticity assumption. As applications, we study completeness and finiteness of stochastically complete graphs under Bakry-Emery curvature bounds.
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