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Entropic Ricci Curvature for Discrete Spaces (Q4609921)

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scientific article; zbMATH DE number 6853303

Language	Label	Description	Also known as
English	Entropic Ricci Curvature for Discrete Spaces	scientific article; zbMATH DE number 6853303

Statements

scholarly article

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Entropic Ricci Curvature for Discrete Spaces (English)

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Modern Approaches to Discrete Curvature

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publication date

27 March 2018

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zbMATH Keywords

Ricci curvature

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optimal transport

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curvature of discrete spaces

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Markov chains

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-58002-9_5

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

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Mass transportation and rough curvature bounds for discrete spaces

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Convex entropy decay via the Bochner-Bakry-Emery approach

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Convergence to global equilibrium for Fokker-Planck equations on a graph and Talagrand-type inequalities

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Fokker-Planck equations for a free energy functional or Markov process on a graph

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A Riemannian interpolation inequality à la Borell, Brascamp and Lieb

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Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature

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Ricci curvature of finite Markov chains via convexity of the entropy

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Gradient flow structures for discrete porous medium equations

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On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

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Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models

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Ricci curvature bounds for weakly interacting Markov chains

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Entropic Ricci curvature bounds for discrete interacting systems

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Displacement convexity of entropy and related inequalities on graphs

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The Variational Formulation of the Fokker--Planck Equation

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Lazy random walks and optimal transport on graphs

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Ricci curvature for metric-measure spaces via optimal transport

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Gradient flows of the entropy for finite Markov chains

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A convexity principle for interacting gases

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A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

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Geodesic convexity of the relative entropy in reversible Markov chains

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Ricci curvature of Markov chains on metric spaces

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality

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Transport inequalities, gradient estimates, entropy and Ricci curvature

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On the geometry of metric measure spaces. II

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Optimal Transport

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-58002-9_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4609921

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