Poincaré inequalities and dimension free concentration of measure
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Publication:1958512
DOI10.1214/09-AIHP209zbMath1205.60040arXiv0707.2834MaRDI QIDQ1958512
Publication date: 4 October 2010
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.2834
Poincaré inequalityconcentration of measurelogarithmic-Sobolev inequalitiestransportation-cost inequalitiesinf-convolution inequalitiessuper Poincaré inequalities
Inequalities; stochastic orderings (60E15) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (17)
Non asymptotic variance bounds and deviation inequalities by optimal transport ⋮ One-dimensional Fokker-Planck equations and functional inequalities for heavy tailed densities ⋮ Moment estimates implied by modified log-Sobolev inequalities ⋮ Applications of Stein's method for concentration inequalities ⋮ Bounds on the Poincaré constant for convolution measures ⋮ A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions ⋮ Variations and extensions of the Gaussian concentration inequality, Part I ⋮ A variational approach to some transport inequalities ⋮ A note on one-dimensional Poincaré inequalities by Stein-type integration ⋮ Poincaré-type inequalities for singular stable-like Dirichlet forms ⋮ Lipschitzian norm estimate of one-dimensional Poisson equations and applications ⋮ Large data solutions to the viscous quantum hydrodynamic model with barrier potential ⋮ From dimension free concentration to the Poincaré inequality ⋮ Entropy-type inequalities for generalized gamma densities ⋮ On a class of Fokker-Planck equations with subcritical confinement ⋮ Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one ⋮ Functional inequalities for two-level concentration
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