Asymptotic Geometric Analysis

Proceedings of the Fall 2010 Fields Institute Thematic Program

  • Monika Ludwig
  • Vitali D. Milman
  • Vladimir Pestov
  • Nicole Tomczak-Jaegermann

Part of the Fields Institute Communications book series (FIC, volume 68)

Table of contents

  1. Front Matter
    Pages i-x
  2. David Alonso–Gutiérrez, Jesús Bastero
    Pages 1-20
  3. Peter Cameron, Claude Laflamme, Maurice Pouzet, Sam Tarzi, Robert Woodrow
    Pages 45-54
  4. Eli Glasner, Michael Megrelishvili
    Pages 75-144
  5. Daniel Hug, Ines Türk, Wolfgang Weil
    Pages 145-187
  6. Hermann König, Vitali Milman
    Pages 189-209
  7. James Moody, Corey Stone, David Zach, Artem Zvavitch
    Pages 211-228
  8. N. W. Sauer
    Pages 247-270
  9. Gideon Schechtman
    Pages 271-288
  10. Alexander Segal, Boaz A. Slomka
    Pages 289-298
  11. Alina Stancu
    Pages 341-357
  12. Elisabeth M. Werner
    Pages 381-395

About this book

Introduction

Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of 2010 continued an established tradition of previous large-scale programs devoted to the same general research direction. The main directions of the program included:

* Asymptotic theory of convexity and normed spaces

* Concentration of measure and isoperimetric inequalities, optimal transportation approach

* Applications of the concept of concentration

* Connections with transformation groups and Ramsey theory

* Geometrization of probability

* Random matrices

* Connection with asymptotic combinatorics and complexity theory

These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working in a wide range of mathematical sciences—in particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science.

Keywords

Banach representations Ramsey Theory Urysohn type spaces convex geometry extremal combinatorics topological dynamics

Editors and affiliations

  • Monika Ludwig
    • 1
  • Vitali D. Milman
    • 2
  • Vladimir Pestov
    • 3
  • Nicole Tomczak-Jaegermann
    • 4
  1. 1.TU WienWienAustria
  2. 2.Fac. Exact Sciences, School of Mathematical SciencesUniversity of Tel AvivTel AvivIsrael
  3. 3.University of OttawaOttawaCanada
  4. 4., Department of Math and Stat ScisUniversity of AlbertaEdmontonCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-6406-8
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-6405-1
  • Online ISBN 978-1-4614-6406-8
  • Series Print ISSN 1069-5265
  • Series Online ISSN 2194-1564
  • About this book
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