Asymptotic geometric analysis : proceedings of the fall 2010 fields institute thematic program /
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 com...
Enregistré dans:
| Collectivité auteur: | |
|---|---|
| Autres auteurs: | , , , |
| Format: | eBook |
| Langue: | English |
| Publié: |
New York, NY
Springer New York
2013.
|
| Collection: | Fields Institute Communications
68 |
| Sujets: | |
| Accès en ligne: | Click here to view the full text content |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| Résumé: | 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. |
|---|---|
| Description matérielle: | 1 online resource (X, 395 pages) 14 illustration, 8 illustration in colour. |
| ISBN: | 9781461464068 |
| ISSN: | 1069-5265 |