Infimum-convolution description of concentration properties of product probability measures, with applications

DOI10.1016/J.ANIHPB.2006.05.003zbMath1125.60018OpenAlexW1979732034MaRDI QIDQ885277

Paul-Marie Samson

Publication date: 8 June 2007

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2007__43_3_321_0

zbMATH Keywords

transportationempirical processesbin packing problemconcentrationproduct probability measureinfimum-convolution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures and integrals in product spaces (28A35)

Related Items (8)

Kantorovich duality for general transport costs and applications ⋮ Displacement convexity of entropy and related inequalities on graphs ⋮ Transport inequalities for random point measures ⋮ Hamilton-Jacobi equations on graph and applications ⋮ On the convex infimum convolution inequality with optimal cost function ⋮ Concentration inequalities for bounded functionals via log-Sobolev-type inequalities ⋮ Concentration inequalities for suprema of unbounded empirical processes ⋮ A new class of costs for optimal transport planning

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