Stochastic completeness for graphs with curvature dimension conditions
Functional Analysis
2015-08-11 v2 Metric Geometry
Abstract
We prove pointwise gradient bounds for heat semigroups associated to general (possibly unbounded) Laplacians on infinite graphs satisfying the curvature dimension condition CD(K,\infty). Using gradient bounds, we show stochastic completeness for graphs satisfying the curvature dimension condition.
Keywords
Cite
@article{arxiv.1504.00080,
title = {Stochastic completeness for graphs with curvature dimension conditions},
author = {Bobo Hua and Yong Lin},
journal= {arXiv preprint arXiv:1504.00080},
year = {2015}
}
Comments
20 pages. A new lemma, Lemma 3.6, is introduced