Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program - Couverture souple

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9781489993311: Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program
Couverture souple
ISBN 10 : 1489993312 ISBN 13 : 9781489993311
Editeur : Springer, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book examines methods for analyzing 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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2015
Langue
anglais
ISBN 10 
1489993312
ISBN 13 
9781489993311
Reliure
Broché
Nombre de pages
408
Éditeur
Ludwig Monika, Milman Vitali D., Pestov Vladimir, Tomczak-Jaegermann Nicole
Coordonnées du fabricant
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