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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2018
- DOI:
- arXiv:
- arXiv:1807.10181
- Bibcode:
- 2018arXiv180710181K
- Keywords:
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- Mathematics - Differential Geometry;
- 53C21;
- 35K05;
- 05C81
- E-Print:
- 13 pages, Added a section with examples