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arXiv · 1807.10181

Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians

Matthias Keller·Florentin Münch
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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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Matthias Keller, Florentin Münch. 2018-07-26. Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians. https://arxiv.org/abs/1807.10181

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