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Convexity and Concentration

  • Eric Carlen
  • Mokshay Madiman
  • Elisabeth M. Werner

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 161)

Table of contents

  1. Front Matter
    Pages i-x
  2. Probability and Concentration

  3. Convexity and Concentration for Sets and Functions

    1. Front Matter
      Pages 359-359
    2. Grigoris Paouris, Peter Pivovarov
      Pages 391-425
    3. Mokshay Madiman, James Melbourne, Peng Xu
      Pages 427-485
    4. Andrea Colesanti
      Pages 487-524
    5. Alexander Koldobsky
      Pages 565-575
    6. Hermann König, Vitali Milman
      Pages 613-623

About these proceedings

Introduction

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus.

Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis.

This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.

Keywords

Convex Geometry Geometric Analysis Probability Random Matrices Concentration Entropy Concave Functions and Measures Inequalities

Editors and affiliations

  • Eric Carlen
    • 1
  • Mokshay Madiman
    • 2
  • Elisabeth M. Werner
    • 3
  1. 1.Department of MathematicsRutgers UniversityPiscatawayUSA
  2. 2.Department of Mathematical SciencesUniversity of DelawareNewarkUSA
  3. 3.Department of MathematicsCase Western Reserve UniversityClevelandUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-7005-6
  • Copyright Information Springer Science+Business Media LLC 2017
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-7004-9
  • Online ISBN 978-1-4939-7005-6
  • Series Print ISSN 0940-6573
  • Series Online ISSN 2198-3224
  • Buy this book on publisher's site