Transport inequalities and Concentration of measure

DOI10.1051/PROC/201551001zbMath1360.60042OpenAlexW2265373531MaRDI QIDQ2786523

Nathael Gozlan

Publication date: 15 February 2016

Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/201551001

zbMATH Keywords

concentration of measurelog-Sobolev inequalitiesGaussian isoperimetric problemTalagrand's transport inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Probabilistic measure theory (60A10) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (8)

Transportation inequalities under uniform metric for a stochastic heat equation driven by time-white and space-colored noise ⋮ Talagrand's transportation inequality for SPDEs with locally monotone drifts ⋮ Transportation cost-information inequality for a stochastic heat equation driven by fractional-colored noise ⋮ Transport inequalities for random point measures ⋮ Transportation cost-information inequality for stochastic wave equation ⋮ Transportation cost inequalities for stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms ⋮ Talagrand's quadratic transportation cost inequalities for reflected SPDEs driven by space-time white noise ⋮ Transportation inequalities for stochastic heat equation with rough dependence in space

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