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Birkhäuser

High Dimensional Probability IX

The Ethereal Volume

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Radosław Adamczak

    1. Institute of Mathematics, University of Warsaw, Warszawa, Poland

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  2. Nathael Gozlan

    1. MAP5, Université Paris Cité, Paris, France

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  3. Karim Lounici

    1. Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau, France

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  4. Mokshay Madiman

    1. Department of Mathematical Sciences, University of Delaware, Newark, USA

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  • Collects papers based on talks given at the Ninth High Dimensional Probability Conference
  • Covers a wide range of topics, including new research that demonstrates the timeliness of this area
  • Demonstrates a variety of useful interactions and applications with other mathematical fields

Part of the book series: Progress in Probability (PRPR, volume 80)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xiv
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  2. Inequalities and Convexity

    1. Front Matter

      Pages 1-1
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    2. Covariance Representations, Lp-Poincaré Inequalities, Stein’s Kernels, and High-Dimensional CLTs

      • Benjamin Arras, Christian Houdré
      Pages 3-73

    3. Volume Properties of High-Dimensional Orlicz Balls

      • Franck Barthe, Paweł Wolff
      Pages 75-95

    4. Entropic Isoperimetric Inequalities

      • Sergey G. Bobkov, Cyril Roberto
      Pages 97-121

    5. Transport Proofs of Some Functional Inverse Santaló Inequalities

      • Matthieu Fradelizi, Nathael Gozlan, Simon Zugmeyer
      Pages 123-142

    6. Tail Bounds for Sums of Independent Two-Sided Exponential Random Variables

      • Jiawei Li, Tomasz Tkocz
      Pages 143-154

    7. Boolean Functions with Small Second-Order Influences on the Discrete Cube

      • Krzysztof Oleszkiewicz
      Pages 155-166

    8. Some Notes on Concentration for α-Subexponential Random Variables

      • Holger Sambale
      Pages 167-192

  3. Limit Theorems

    1. Front Matter

      Pages 193-193
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    2. Limit Theorems for Random Sums of Random Summands

      • David Grzybowski
      Pages 195-210

    3. A Note on Central Limit Theorems for Trimmed Subordinated Subordinators

      • David M. Mason
      Pages 211-228

    4. Functional Central Limit Theorem via Nonstationary Projective Conditions

      • Florence Merlevède, Magda Peligrad
      Pages 229-254

  5. High-Dimensional Statistics

    1. Front Matter

      Pages 345-345
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    2. Random Geometric Graph: Some Recent Developments and Perspectives

      • Quentin Duchemin, Yohann De Castro
      Pages 347-392

    3. Functional Estimation in Log-Concave Location Families

      • Vladimir Koltchinskii, Martin Wahl
      Pages 393-440
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Keywords

About this book

This volume collects selected papers from the Ninth High Dimensional Probability Conference, held virtually from June 15-19, 2020. These papers cover a wide range of topics and demonstrate how high-dimensional probability remains an active area of research with applications across many mathematical disciplines. Chapters are organized around four general topics: inequalities and convexity; limit theorems; stochastic processes; and high-dimensional statistics. High Dimensional Probability IX will be a valuable resource for researchers in this area.

Editors and Affiliations

  • Institute of Mathematics, University of Warsaw, Warszawa, Poland

    Radosław Adamczak

  • MAP5, Université Paris Cité, Paris, France

    Nathael Gozlan

  • Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau, France

    Karim Lounici

  • Department of Mathematical Sciences, University of Delaware, Newark, USA

    Mokshay Madiman

Bibliographic Information

  • Book Title: High Dimensional Probability IX

  • Book Subtitle: The Ethereal Volume

  • Editors: Radosław Adamczak, Nathael Gozlan, Karim Lounici, Mokshay Madiman

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-3-031-26979-0

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-26978-3Published: 06 June 2023

  • Softcover ISBN: 978-3-031-26981-3Due: 07 July 2023

  • eBook ISBN: 978-3-031-26979-0Published: 05 June 2023

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: XIV, 440

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes, Statistics, general

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