Ludwig, Monika
[HerausgeberIn];
Milman, Vitali D.
[HerausgeberIn];
Pestov, Vladimir
[HerausgeberIn];
Tomczak-Jaegermann, Nicole
[HerausgeberIn]
;
Fields Institute for Research in Mathematical Sciences Toronto
Asymptotic geometric analysis
: proceedings of the Fall 2010 Fields Institute Thematic Program
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Medientyp:
Buch
Titel:
Asymptotic geometric analysis
:
proceedings of the Fall 2010 Fields Institute Thematic Program
Enthält:
The Variance Conjecture on Some Polytopes
/ David Alonso-Gutiérrez, Jesús Bastero
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
/ Dana Bartošová
On the Lyapounov Exponents of Schrödinger Operators Associated with the Standard Map
/ J. Bourgain
Overgroups of the Automorphism Group of the Rado Graph
/ Peter Cameron, Claude Laflamme, Maurice Pouzet, Sam Tarzi
On a Stability Property of the Generalized Spherical Radon Transform
/ Dmitry Faifman
Banach Representations and Affine Compactifications of Dynamical Systems
/ Eli Glasner, Michael Megrelishvili
Flag Measures for Convex Bodies
/ Daniel Hug, Ines Türk, Wolfgang Weil
Operator Functional Equations in Analysis
/ Hermann König, Vitali Milman
A Remark on the Extremal Non-Central Sections of the Unit Cube
/ James Moody, Corey Stone, David Zach, Artem Zvavitch
Universal Flows of Closed Subgroups of S[subscript infinity sign] and Relative Extreme Amenability
/ L. Nguyen Van Thé
Oscillation of Urysohn Type Spaces
/ N.W. Sauer
Euclidean Sections of Convex Bodies
/ Gideon Schechtman
Duality on Convex Sets in Generalized Regions
/ Alexander Segal, Boaz A. Slomka
On Polygons and Injective Mappings of the Plane
/ Boaz A. Slomka
Abstract Approach to Ramsey Theory and Ramsey Theorems for Finite Trees
/ Sławomir Solecki
Some Affine Invariants Revisited
/ Alina Stancu
On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant
/ P. Stavrakakis, P. Valettas
f-Divergence for Convex Bodies
/ Elisabeth M. Werner.
Beschreibung:
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