Asymptotic geometric analysis : proceedings of the Fall 2010 Fields Institute Thematic Program /

Asymptotic geometric analysis : proceedings of the Fall 2010 Fields Institute Thematic Program /

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Bibliographic Details
Imprint:New York, NY : Springer, c2013.
Description:1 online resource.
Language:English
Series:Fields Institute Communications, 1069-5265 ; v.68
Fields Institute communications ; v.68.
Subject:
Geometric analysis -- Congresses.
Electronic books.
Conference proceedings.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/9850451
Hidden Bibliographic Details
Other authors / contributors:Ludwig, Monika.
ISBN:9781461464068 (electronic bk.)
1461464064 (electronic bk.)
9781461464051
Notes:International conference proceedings.
Summary: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.
Table of Contents:
  • 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 ∞ 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.

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