Asymptotic Geometric Analysis

Proceedings of the Fall 2010 Fields Institute Thematic Program

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Statistics
Cover of the book Asymptotic Geometric Analysis by , Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9781461464068
Publisher: Springer New York Publication: March 27, 2013
Imprint: Springer Language: English
Author:
ISBN: 9781461464068
Publisher: Springer New York
Publication: March 27, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Propagation Engineering in Wireless Communications by
Cover of the book Stochastic Calculus and Financial Applications by
Cover of the book Gadd45 Stress Sensor Genes by
Cover of the book Reviews of Environmental Contamination and Toxicology by
Cover of the book Environmental Problem Solving by
Cover of the book Military Deployment and its Consequences for Families by
Cover of the book Modelling and Numerical Simulations II by
Cover of the book Voltage-to-Frequency Converters by
Cover of the book Retinal and Choroidal Manifestations of Selected Systemic Diseases by
Cover of the book Practical FDG Imaging by
Cover of the book The Little Book of Time by
Cover of the book Understanding Analysis by
Cover of the book Control of Innate and Adaptive Immune Responses during Infectious Diseases by
Cover of the book Hidden Harmony—Geometric Fantasies by
Cover of the book Theories and Applications in the Detection of Deception by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy