Stochastic completeness for graphs with curvature dimension conditions

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.

20 pages. A new lemma, Lemma 3.6, is introduced

References in corpus (1)

• Eigenvalue ratios of nonnegatively curved graphs

Cited by in corpus (1)

• Graphs with large girth and nonnegative curvature dimension condition