Fields Institute Communications

Asymptotic Geometric Analysis

Proceedings of the Fall 2010 Fields Institute Thematic Program

Editors: Ludwig, M., Milman, V.D., Pestov, V., Tomczak-Jaegermann, N. (Eds.)

  • Contains contributions by some of the top experts in their relative fields
  • Presents a collection of papers reflecting a wide spectrum of state-of-the-art investigations in the area
  • Presents recent developments in the field, keeping the reader up to date
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About this book

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.

Table of contents (18 chapters)

  • The Variance Conjecture on Some Polytopes

    Alonso–Gutiérrez, David (et al.)

    Pages 1-20

  • More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures

    Bartošová, Dana

    Pages 21-38

  • On the Lyapounov Exponents of Schrödinger Operators Associated with the Standard Map

    Bourgain, J.

    Pages 39-44

  • Overgroups of the Automorphism Group of the Rado Graph

    Cameron, Peter (et al.)

    Pages 45-54

  • On a Stability Property of the Generalized Spherical Radon Transform

    Faifman, Dmitry

    Pages 55-73

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-6406-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-6405-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9331-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Geometric Analysis
Book Subtitle
Proceedings of the Fall 2010 Fields Institute Thematic Program
Editors
  • Monika Ludwig
  • Vitali D. Milman
  • Vladimir Pestov
  • Nicole Tomczak-Jaegermann
Series Title
Fields Institute Communications
Series Volume
68
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6406-8
DOI
10.1007/978-1-4614-6406-8
Hardcover ISBN
978-1-4614-6405-1
Softcover ISBN
978-1-4899-9331-1
Series ISSN
1069-5265
Edition Number
1
Number of Pages
X, 395
Topics