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On Measure Concentration of Vector-Valued Maps

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Publication:5423585
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DOI10.4064/ba55-3-7zbMath1125.60016OpenAlexW2062153909MaRDI QIDQ5423585

Krzysztof Oleszkiewicz, Michel Ledoux

Publication date: 23 October 2007

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba55-3-7


zbMATH Keywords

concentration of measure, vector-valued map, moment comparison, Gaussian measure


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)


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Rosenthal-Type Inequalities for Martingales in 2-Smooth Banach Spaces ⋮ Concentration of maps and group actions ⋮ A multidimensional analogue of the Rademacher-Gaussian tail comparison ⋮ Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order ⋮ Hanson-Wright inequality in Banach spaces ⋮ Central and \(L^p\)-concentration of 1-Lipschitz maps into \(R\)-trees ⋮ Exponential and Gaussian concentration of 1-Lipschitz maps ⋮ Optimal Re-centering Bounds, with Applications to Rosenthal-type Concentration of Measure Inequalities



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