Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Fields Institute Communications (FIC, volume 68)
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Table of contents (18 papers)
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Front Matter
Keywords
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.
Editors and Affiliations
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
DOI: https://doi.org/10.1007/978-1-4614-6406-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-6405-1Published: 28 March 2013
Softcover ISBN: 978-1-4899-9331-1Published: 14 April 2015
eBook ISBN: 978-1-4614-6406-8Published: 27 March 2013
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: X, 395
Topics: Functional Analysis, Probability Theory and Stochastic Processes, Real Functions, Operator Theory, Convex and Discrete Geometry, Topological Groups, Lie Groups