Curvature-dimension inequalities for non-local operators in the discrete setting

DOI10.1007/s00526-019-1616-yOpenAlexW2972778407WikidataQ124851860 ScholiaQ124851860MaRDI QIDQ2274399

Frederic Weber, Rico Zacher, Adrian Spener

Publication date: 19 September 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00517

zbMATH Keywords

Markov chaininfinite graphsnon-local operatorfractional Laplaciancurvature-dimension inequalitygamma calculusBakry-Émery inequality

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Fractional derivatives and integrals (26A33) Markov semigroups and applications to diffusion processes (47D07) Infinite graphs (05C63)

Related Items (5)

Aronson-Bénilan and Harnack estimates for the discrete porous medium equation ⋮ The fractional Laplacian has infinite dimension ⋮ Entropy-information inequalities under curvature-dimension conditions for continuous-time Markov chains ⋮ The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains ⋮ Bakry-Émery curvature on graphs as an eigenvalue problem

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