Description: Asymptotic Geometric Analysis by Monika Ludwig, Vitali D. Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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 theoryThese 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. Back Cover 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. Table of Contents Preface.- The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero).- More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova).- On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain).- Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow).- On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman).- Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili).- Flag Measures for Convex Bodies (D. Hug, I. Turk, W. Weil).- Operator Functional Equations in Analysis (H. Konig, V. Milmann).- A Remark on the External Non-Central Sections of the Unit Cube (J. Moody, C. Stone, D. Zach, A. Zvavitch).- Universal Flows of Closed Subgroups of S∞ and Relative Extreme Amenability (L. Nguyen Van The).- Oscillation of Urysohn Type Spaces (N.W. Sauer).- Euclidean Sections of Convex Bodies (G. Schechtman).- Duality on Convex Sets in Generalized Regions (A. Segal, B.A. Slomka).- On Polygons and Injective Mappings of the Plane (B.A. Slomka).- Abstract Approach to Ramsey Theory and Ramsey Theorems for Finite Trees (S. Solecki).- Some Affine Invariants Revisited (A. Stancu).- On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant (P. Stavrakakis, P. Valettas).- f-Divergence for Convex Bodies (E.M. Werner). Feature 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 Details ISBN1489993312 ISBN-10 1489993312 ISBN-13 9781489993311 Format Paperback Short Title ASYMPTOTIC GEOMETRIC ANALYSIS Pages 395 Series Fields Institute Communications Language English Media Book Series Number 68 Imprint Springer-Verlag New York Inc. Subtitle Proceedings of the Fall 2010 Fields Institute Thematic Program Place of Publication New York Country of Publication United States Edited by Vitali D. Milman Translated from English Edition 2013th Illustrations X, 395 p. AU Release Date 2015-04-14 NZ Release Date 2015-04-14 US Release Date 2015-04-14 UK Release Date 2015-04-14 Birth 1957 Affiliation University of Minnesota School of Law Position Customer Qualifications J D Author Nicole Tomczak-Jaegermann Publisher Springer-Verlag New York Inc. Edition Description 2013 ed. Year 2015 Publication Date 2015-04-14 Alternative 9781461464051 DEWEY 515.6 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96292373;
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ISBN-13: 9781489993311
Book Title: Asymptotic Geometric Analysis
Item Height: 235 mm
Item Width: 155 mm
Author: Vladimir Pestov, Monika Ludwig, Vitali D. Milman, Nicole Tomczak-Jaegermann
Publication Name: Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program
Format: Paperback
Language: English
Publisher: Springer-Verlag New York Inc.
Subject: Mathematics
Publication Year: 2015
Type: Textbook
Item Weight: 6146 g
Number of Pages: 395 Pages
