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

被引：0
|
作者：
Keller, Matthias [1 ]
Muench, Florentin [2 ]
机构：
[1] Univ Potsdam, Dept Math, D-14476 Potsdam, Germany
[2] MPI MiS Leipzig, D-04103 Leipzig, Germany
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2024年 / 32卷 / 02期
关键词：
LI-YAU INEQUALITY; STOCHASTIC COMPLETENESS; TRANSPORT INEQUALITIES; MARKOV-CHAINS; SPECTRUM; ENTROPY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：343 / 364
页数：22
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