Nathael Gozlan * Rafat Latala * Karim Lounici *

Mokshay MadimanEditors

High DimensionalProbability VIIIThe Oaxaca Volume

& Birkhäuser

Contents

, Jergen Hoffmann-Jergensen (1942-2017) ... NM 1Michael B. Marcus, Goran Peskir, and Jan Rosinski

Moment Estimation Implied by the Bobkov-Ledoux Inequality ...... 9Witold Bednorz and Grzegorz Glowienko

Polar Isoperimetry. I: The Case of the Plane ..... o zuSergey G. Bobkov, Nathael Gozlan, Cyril Roberto, and Paul-MarieSamson

Iterated Jackknives and Two-Sided Variance Inequalities......... ...Olivier Bousquet and Christian Houdré

“ A Probabilistic Characterization of Negative Definite Functions ..... 41Fuchang Gao

$ Higher Order Concentration in Presence of Poincaré-TypeInequalities ...... [n ee .

Friedrich Gótze and Holger Sambale

Rearrangement and Prékopa-Leindler Type Inequalities........ .... 71James Melbourne

‘ Generalized Semimodularity: Order Statistics. ...... eue 00

Iosif Pinelis

" Geometry of e -Balls: Classical Results and RecentDevelopments ..... . 12]

Joscha Prochno, Christoph Thäle, and Nicola Turchi

10 Remarks on Superconcentration and Gamma Calculus:Applications to Spin Glasses............ ..... eee 051

Kevin Tanguy

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Contents

11 Asymptotic Behavior of Renyi Entropy in the Central LimitTheorem ....

Sergey G. Bobkov and Arnaud Marsiglietti

12 Uniform-in-Bandwidth Functional Limit Laws for MultivariateEmpirical Processes ......Paul Deheuvels

13 Universality of Limiting Spectral Distribution UnderProjective Criteria ...... 24]Florence Merlevéde and Magda Peligrad

14 Exchangeable Pairs on Wiener Chaos... ^T]Ivan Nourdin and Guangqu Zheng

15 Permanental Processes with Kernels That Are Not Equivalentto a Symmetric Matrix ......... MMC nn

Michael B. Marcus and Jay Rosen

16 Pointwise Properties of Martingales with Valuesin Banach Function Spaces ... !Mark Veraar and Ivan Yaroslavtsev

17 Concentration Inequalities for Randomly Permuted Sums. .. . 341Mélisande Albert

18 Uncertainty Quantification for Matrix Compressed Sensingand Quantum Tomography Problems ....Alexandra Carpentier, Jens Eisert, David Gross, and Richard Nickl

19 Uniform in Bandwidth Estimation of the Gradient Linesof a Density ......... D "E es ;

David Mason and Bruno Pelletier

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