Stochastic completeness for graphs with curvature dimension conditions

2015/04/01 by Bobo Hua, Hua, Bobo, Yong Lin +1 · 4 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1504.00080

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,∞). Using gradient bounds, we show stochastic completeness for graphs satisfying the curvature dimension condition.

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