Asymptotic Geometric Analysis

Monika Ludwig

ISBN 10: 1489993312 / ISBN 13: 9781489993311

Published by Springer New York, Springer US Apr 2015, 2015

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 408 pp. Englisch.

Seller Inventory # 9781489993311

Bibliographic Details

• Title: Asymptotic Geometric Analysis
• Publisher: Springer New York, Springer US Apr 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 1489993312
• ISBN 13: 9781489993311
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 23D millimeters 235 millimeters width by 155 millimeters height by 23 millimeters depth
• Weight: 616 grams

About this title

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.