The heat flow on metric random walk spaces

DOI10.1016/j.jmaa.2019.123645zbMath1465.53053arXiv1806.01215OpenAlexW2805357710WikidataQ124848934 ScholiaQ124848934MaRDI QIDQ2287244

Julián Toledo, Marcos Solera, José M. Mazón Ruiz

Publication date: 20 January 2020

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

Full work available at URL: https://arxiv.org/abs/1806.01215

zbMATH Keywords

random walksnonlocal operatorsOllivier-Ricci curvatureCheeger inequalitytransport inequalitiesBakry-Émery curvature-dimension condition

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Heat equation (35K05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

Gradient flows in metric random walk spaces ⋮ \((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces ⋮ Curvature and entropy of a graph ⋮ Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces ⋮ The Cheeger cut and Cheeger problem in metric graphs ⋮ The Cheeger cut and Cheeger problem in metric measure spaces ⋮ Cahn–Hilliard equations on random walk spaces ⋮ Torsional Rigidity in Random Walk Spaces ⋮ Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions ⋮ The total variation flow in metric random walk spaces ⋮ Least gradient functions in metric random walk spaces ⋮ Bakry-Émery curvature on graphs as an eigenvalue problem

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