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...

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Auteur principal: Ludwig, Monika, 19..-
Format: Livre numérique
Langue:Anglais
Publié: New York, NY : Springer New York [20..].
Cham : Springer Nature
Collection:Fields Institute Communications 68
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Note: Autre contributeur : Nicole Tomczak-Jaegermann (ed.)
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Edition sous un autre format:• Asymptotic Geometric Analysis, Texte imprimé, 9781461464075
• Asymptotic Geometric Analysis, Texte imprimé, 9781489993311
• Asymptotic geometric analysis, proceedings of the Fall 2010 Fields Institute Thematic Program, Monika Ludwig, Vitali D. Milman, Vladimir Pestov,... [et al.], editors, 2013, New York [etc.], Springer, 1 vol. (X-395 p.), Fields Institute Communications, 978-1-461-46405-1
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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:Autre contributeur : Nicole Tomczak-Jaegermann (ed.)
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781461464068
ISSN:2194-1564
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