Article ID Journal Published Year Pages File Type
4665014 Advances in Mathematics 2017 24 Pages PDF
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,∞)CD(K,∞). Using gradient bounds, we show stochastic completeness for graphs satisfying the curvature dimension condition.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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