The IMA Volumes in Mathematics and its Applications

Convexity and Concentration

Editors: Carlen, Eric, Madiman, Mokshay, Werner, Elisabeth (Eds.)

  • 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
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eBook $84.99
price for USA (gross)
  • ISBN 978-1-4939-7005-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-7004-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (21 chapters)

  • Interpolation of Probability Measures on Graphs

    Hillion, Erwan

    Pages 3-32

  • Entropy and Thinning of Discrete Random Variables

    Johnson, Oliver

    Pages 33-53

  • Concentration of Measure Principle and Entropy-Inequalities

    Samson, Paul-Marie

    Pages 55-105

  • Structured Random Matrices

    Handel, Ramon

    Pages 107-156

  • Rates of Convergence for Empirical Spectral Measures: A Soft Approach

    Meckes, Elizabeth S. (et al.)

    Pages 157-181

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-1-4939-7005-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-7004-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Convexity and Concentration
Editors
  • Eric Carlen
  • Mokshay Madiman
  • Elisabeth Werner
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
161
Copyright
2017
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4939-7005-6
DOI
10.1007/978-1-4939-7005-6
Hardcover ISBN
978-1-4939-7004-9
Series ISSN
0940-6573
Edition Number
1
Number of Pages
X, 626
Number of Illustrations and Tables
1 b/w illustrations, 5 illustrations in colour
Topics