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Concentration, functional inequalities, and isoperimetry

Concentration, functional inequalities, and isoperimetry

Christian Houdre, Christian Houdré

Details

OL Work ID
OL15932791W

Subjects

Isoperimetric inequalitiesReal functions -- Inequalities -- Inequalities involving derivatives and differential and integral operatorsConvexity spacesDifferential geometry -- Global differential geometry -- Global Riemannian geometry, including pinchingCongressesFunctional analysis -- Linear function spaces and their duals -- Spaces of measurable functions ($Lp$-spaces, Orlicz spaces, the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.).Functional analysisProbability theory and stochastic processes -- Probability theory on algebraic and topological structures -- None of the above, but in this sectionFunctional analysis -- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) -- Measures and integration on abstract linear spacesSeveral complex variables and analytic spaces -- Geometric convexity -- Analytical consequences of geometric convexity (vanishing theorems, etc.).Probability theory and stochastic processes -- Distribution theory -- Inequalities; stochastic orderingsDifferential geometry -- Global differential geometry -- Methods of Riemannian geometry, including PDE methods; curvature restrictionsGeometry, differentialFunctional analysis -- Linear function spaces and their duals -- Spaces of measurable functions ($Lp$-spaces, Orlicz spaces, the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)Several complex variables and analytic spaces -- Geometric convexity -- Analytical consequences of geometric convexity (vanishing theorems, etc.)

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