A note on the volume growth criterion for stochastic completeness of weighted graphs
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Publication:2436552
DOI10.1007/s11118-013-9342-0zbMath1282.05061arXiv1209.2069OpenAlexW2129114386MaRDI QIDQ2436552
Publication date: 25 February 2014
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.2069
weighted graphsmetric graphsstochastic completenessweak Omori-Yau maximum principlestrongly local Dirichlet spaces
Continuous-time Markov processes on discrete state spaces (60J27) Signed and weighted graphs (05C22) Random walks on graphs (05C81)
Related Items (21)
Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature ⋮ Global properties of Dirichlet forms in terms of Green's formula ⋮ Laplacians on infinite graphs: discrete vs. continuous ⋮ Graphs with positive spectrum ⋮ The \(L^1\)-Liouville property on graphs ⋮ The Feller property for graphs ⋮ Self-adjoint extensions of discrete magnetic Schrödinger operators ⋮ Diffusion determines the recurrent graph ⋮ On the uniqueness class, stochastic completeness and volume growth for graphs ⋮ Upper escape rate for weighted graphs via metric graphs ⋮ Quantum graphs on radially symmetric antitrees ⋮ Stochastic completeness for graphs with curvature dimension conditions ⋮ Intrinsic Metrics on Graphs: A Survey ⋮ Escape rate of symmetric jump-diffusion processes ⋮ A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms ⋮ A Glazman-Povzner-Wienholtz theorem on graphs ⋮ Geometry and spectrum of rapidly branching graphs ⋮ Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience ⋮ A generalized conservation property for the heat semigroup on weighted manifolds ⋮ Stochastic Completeness of Jump Processes on Metric Measure Spaces
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