From dimension free concentration to the Poincaré inequality
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Publication:2017824
DOI10.1007/s00526-014-0737-6zbMath1352.60028arXiv1305.4331OpenAlexW2011225411MaRDI QIDQ2017824
Cyril Roberto, Paul-Marie Samson, Nathael Gozlan
Publication date: 23 March 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.4331
Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Inequalities involving derivatives and differential and integral operators (26D10) Analytical consequences of geometric convexity (vanishing theorems, etc.) (32F32)
Related Items (12)
Diffusion, optimal transport and Ricci curvature ⋮ Concentration phenomena in high dimensional geometry ⋮ ON THE CONVERGENCE RATE OF POTENTIALS OF BRENIER MAPS ⋮ Bounds on the Poincaré constant for convolution measures ⋮ Sobolev Spaces in Extended Metric-Measure Spaces ⋮ Some notes on concentration for \(\alpha\)-subexponential random variables ⋮ On dimension-dependent concentration for convex Lipschitz functions in product spaces ⋮ On the convex Poincaré inequality and weak transportation inequalities ⋮ Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes ⋮ Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions ⋮ Multiple sets exponential concentration and higher order eigenvalues ⋮ Functional inequalities for two-level concentration
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