A note on comparison theorems for graphs

DOI10.1016/j.jmaa.2021.125307zbMath1470.60238OpenAlexW3162867623WikidataQ115188951 ScholiaQ115188951MaRDI QIDQ2038200

Andrea Adriani

Publication date: 9 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125307

zbMATH Keywords

comparison theoremsinfinite graphsstochastic properties

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Markov processes (60J99) Infinite graphs (05C63)

Related Items (1)

The \(L^1\)-Liouville property on graphs

Cites Work

• Unnamed Item
• Volume growth, spectrum and stochastic completeness of infinite graphs
• Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator
• Ricci-flat graphs with girth at least five
• Stochastic incompleteness for graphs and weak Omori-Yau maximum principle
• Stochastic completeness for graphs with curvature dimension conditions
• The Feller property on Riemannian manifolds
• Bakry-Émery curvature and diameter bounds on graphs
• Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds
• Ricci curvature for metric-measure spaces via optimal transport
• Dirichlet forms and stochastic completeness of graphs and subgraphs
• The Feller property for graphs
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience

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