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High Dimensional Probability VIII

The Oaxaca Volume

  • Nathael Gozlan
  • Rafał Latała
  • Karim Lounici
  • Mokshay Madiman
Conference proceedings

Part of the Progress in Probability book series (PRPR, volume 74)

Table of contents

  1. Front Matter
    Pages i-x
  2. Michael B. Marcus, Goran Peskir, Jan Rosiński
    Pages 1-7
  3. Witold Bednorz, Grzegorz Głowienko
    Pages 9-20
  4. Sergey G. Bobkov, Nathael Gozlan, Cyril Roberto, Paul-Marie Samson
    Pages 21-31
  5. Olivier Bousquet, Christian Houdré
    Pages 33-40
  6. Friedrich Götze, Holger Sambale
    Pages 55-69
  7. Joscha Prochno, Christoph Thäle, Nicola Turchi
    Pages 121-150
  8. Sergey G. Bobkov, Arnaud Marsiglietti
    Pages 169-200
  9. Florence Merlevède, Magda Peligrad
    Pages 241-276
  10. Ivan Nourdin, Guangqu Zheng
    Pages 277-303
  11. Alexandra Carpentier, Jens Eisert, David Gross, Richard Nickl
    Pages 385-430
  12. David Mason, Bruno Pelletier
    Pages 431-455

About these proceedings

Introduction

This volume collects selected papers from the 8th High Dimensional Probability meeting held at Casa Matemática Oaxaca (CMO), Mexico.

High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, random graphs, information theory and convex geometry.

The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.


Keywords

high dimensional probability limit theorems infinite-dimensional spaces Hilbert spaces Banach spaces random matrices nonparametric statistics empirical processes functional estimation random graphs convex geometry

Editors and affiliations

  • Nathael Gozlan
    • 1
  • Rafał Latała
    • 2
  • Karim Lounici
    • 3
  • Mokshay Madiman
    • 4
  1. 1.MAP 5Université Paris DescartesParisFrance
  2. 2.Institute of MathematicsUniversity of WarsawWarsawPoland
  3. 3.Centre de Mathématiques AppliquéesEcole PolytechniquePalaiseauFrance
  4. 4.Department of Mathematical SciencesUniversity of DelawareNewarkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-26391-1
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-26390-4
  • Online ISBN 978-3-030-26391-1
  • Series Print ISSN 1050-6977
  • Series Online ISSN 2297-0428
  • Buy this book on publisher's site