Autor: Monika Ludwig
ISBN-13: 9781461464051
Einband: Book
Seiten: 408
Gewicht: 741 g
Format: 249x167x30 mm
Sprache: Englisch

Asymptotic Geometric Analysis

Proceedings of the Fall 2010 Fields Institute Thematic Program
 Book
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_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).
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.
Editiert von: Monika Ludwig, Vitali D. Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann
InhaltsangabePreface.- 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 S8 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).

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Autor: Monika Ludwig
ISBN-13 :: 9781461464051
ISBN: 1461464056
Erscheinungsjahr: 28.03.2013
Verlag: Springer New York
Gewicht: 741g
Seiten: 408
Sprache: Englisch
Auflage 2013
Sonstiges: Buch, 249x167x30 mm