Symmetric Functionals on Random Matrices and Random Matchings Problems

This book is drawn from the recent literature on the asymptotic behavior of random permanents and random matchings. In particular, the authors present an elegant connection between the problem of an asymptotic behavior for a certain family of functionals

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Series Editors Douglas N. Arnold Arnd Scheel

Institute for Mathematics and its Applications (IMA) The Institute for Mathematics and its Applications was established by a grant from the National Science Foundation to the University of Minnesota in 1982. The primary mission of the IMA is to foster research of a truly interdisciplinary nature, establishing links between mathematics of the highest caliber and important scientific and technological problems from other disciplines and industries. To this end, the IMA organizes a wide variety of programs, ranging from short intense workshops in areas of exceptional interest and opportunity to extensive thematic programs lasting a year. IMA Volumes are used to communicate results of these programs that we believe are of particular value to the broader scientific community. The full list of IMA books can be found at the Web site of the Institute for Mathematics and its Applications: http://www.ima.umn.edu/springer/volumes.html Presentation materials from the IMA talks are available at http://www.ima.umn.edu/talks/ Douglas N. Arnold, Director of the IMA * * * * * * * * * *

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Grzegorz A. Rempała

Jacek Wesołowski

Authors

Symmetric Functionals on Random Matrices and Random Matchings Problems

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Grzegorz A. Rempała Department of Mathematics University of Louisville, KY, USA Louisville 40292 http://www.louisville.edu/∼garemp01

ISBN: 978-0-387-75145-0

Jacek Wesołowski Wydzial Matematyki i Nauk Informacyjnych Politechnika Warszawska, Warszawa, 1 Pl. Politechniki Warszawa 00-661 Poland

e-ISBN: 970-0-387-75146-7

Mathematics Subject Classification (2000): 60F05, 60F17, 62G20, 62G10, 05A16 Library of Congress Control Number: 2007938212 c 2008 Springer Science+Business Media, LLC  All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, tradem