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

Matthias Erbar; Max Fathi

doi:10.1016/j.jfa.2018.03.011

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

Matthias Erbar Max Fathi

Year: 2018 Journal: Journal of Functional Analysis Vol: 274 (11)Pages: 3056-3089 Publisher: Elsevier BV

DOI: 10.1016/j.jfa.2018.03.011

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Keywords:

Isoperimetric inequality Mathematics Ricci curvature Bounded function Constant (computer programming) Spectral gap Markov chain Pure mathematics Mathematical analysis Logarithm Sobolev inequality Constant curvature Metric (unit) Curvature Sectional curvature Sobolev space Scalar curvature Geometry

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Point processes and geometric inequalities

Physical Sciences → Mathematics → Applied Mathematics

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

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