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  • Conference proceedings
  • © 2017

Convexity and Concentration

  • Written by leading experts in the field, providing state of the art results
  • Chapters derived from workshop talks, annual program seminars, and research interests of mathematicians at the IMA
  • Contains many surveys of active research areas, including open problems

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

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Table of contents (21 papers)

  1. Front Matter

    Pages i-x
  2. Convexity and Concentration for Sets and Functions

    1. Front Matter

      Pages 359-359
    2. Randomized Isoperimetric Inequalities

      • Grigoris Paouris, Peter Pivovarov
      Pages 391-425
    3. Forward and Reverse Entropy Power Inequalities in Convex Geometry

      • Mokshay Madiman, James Melbourne, Peng Xu
      Pages 427-485
    4. Log-Concave Functions

      • Andrea Colesanti
      Pages 487-524
    5. On Some Problems Concerning Log-Concave Random Vectors

      • RafaÅ‚ LataÅ‚a
      Pages 525-539

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Rutgers University, Piscataway, USA

    Eric Carlen

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

    Mokshay Madiman

  • Department of Mathematics, Case Western Reserve University, Cleveland, USA

    Elisabeth M. Werner

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access