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- W4287659984 abstract "The goal of this article is to survey various results concerning stochastic completeness of graphs. In particular, we present a variety of formulations of stochastic completeness and discuss how a discrepancy between uniqueness class and volume growth criteria in the continuous and discrete settings was ultimately resolved via the use of intrinsic metrics. Along the way, we discuss some equivalent notions of boundedness in the sense of geometry and of analysis. We also discuss various curvature criteria for stochastic completeness and discuss how weakly spherically symmetric graphs establish the sharpness of results." @default.
- W4287659984 created "2022-07-25" @default.
- W4287659984 creator A5062311219 @default.
- W4287659984 date "2020-09-28" @default.
- W4287659984 modified "2023-09-23" @default.
- W4287659984 title "Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature" @default.
- W4287659984 doi "https://doi.org/10.48550/arxiv.2010.02009" @default.
- W4287659984 hasPublicationYear "2020" @default.
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