Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians
Differential Geometry
2020-11-24 v2
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.
Keywords
Cite
@article{arxiv.1807.10181,
title = {Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians},
author = {Matthias Keller and Florentin Münch},
journal= {arXiv preprint arXiv:1807.10181},
year = {2020}
}
Comments
13 pages, Added a section with examples