Symmetric Functionals on Random Matrices and Random Matchings Problems / Edition 1

by Grzegorz Rempala, Jacek Wesolowski

Overview

This IMA Volume in Mathematics and its Applications SYMMETRIC FUNCTIONALS ON RANDOM MATRICES AND RANDOM MATCHINGS PROBLEMS During the academic year 2003–2004, the Institute for Mathematics and its Applications (IMA) held a thematic program on Probability and Stat- tics in Complex Systems. The program focused on large complex systems in which shasticity plays a significant role. Such systems are very diverse, and the IMA program emphasized systems as varied as the human genome, the internet, and world financial markets. Although quite different, these systems have features in common, such as multitudes of interconnecting parts and the availability of large amounts of high-dimensional noisy data. The programemphasized the development and application of common mathem- ical and computational techniques to model and analyze such systems. About 1,000 mathematicians, statisticians, scientists, and engineers participated in the IMA thematic program, including about 50 who were in residence at the IMA during much or all of the year. The present volume was born during the 2003–2004 thematic program at the IMA. The two authors were visitors to the IMA during the program year, withthe firstauthorresidentforthe entiretenmonths. Thisvolumeisaresult of the authors’ interactions at the IMA, and, especially their discussions with the many other program participants in the program and their involvement in the numerous tutorials, workshops,and seminars held during the year.

Product Details

ISBN-13:	9780387751450
Publisher:	Springer New York
Publication date:	12/10/2007
Series:	The IMA Volumes in Mathematics and its Applications , #147
Edition description:	2008
Pages:	184
Product dimensions:	6.10(w) x 9.30(h) x 0.60(d)

Table of Contents

Basic Concepts.- Properties of P-statistics.- Asymptotics for Random Permanents.- Weak Convergence of Permanent Processes.- Weak Convergence of P-statistics.- Permanent Designs and Related Topics.- Products of Partial Sums and Wishart Determinants.

Editorial Reviews

From the reviews:

"This monograph provides an account of recent research on questions related to asymptotics for random permanents and random matchings. … Each chapter finishes with a brief section on bibliographic details. These sections place the work in context providing references to key papers in the area as well as other sources of background information. The text is accessible to graduate students with a basic background in probability theory and statistics." (Neville Weber, Zentalblatt MATH, Vol. 1147, 2008)

From the Publisher