Random Matrix Theory, Interacting Particle Systems, and Integrable Systems: 65 (Mathematical Sciences Research Institute Publications, Series Number 65)

Edited by Percy Deift , Peter Forrester

ISBN 10: 1107079926 / ISBN 13: 9781107079922

Published by Cambridge University Press, 2015

About this Item

This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles. Editor(s): Deift, Percy; Forrester, Peter. Series: Mathematical Sciences Research Institute Publications. Num Pages: 540 pages, black & white illustrations. BIC Classification: PBF; PBT. Category: (U) Tertiary Education (US: College). Dimension: 165 x 242 x 29. Weight in Grams: 906. . 2015. Illustrated. hardcover. . . . .

Seller Inventory # V9781107079922

Bibliographic Details

• Title: Random Matrix Theory, Interacting Particle Systems, and Integrable Systems: 65 (Mathematical Sciences Research Institute Publications, Series Number 65)
• Publisher: Cambridge University Press
• Publication Date: 2015
• Language: English
• ISBN 10: 1107079926
• ISBN 13: 9781107079922
• Binding: Hardcover
• Condition: New

About this title

Synopsis

Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range of applications in physics, engineering, multivariate statistics and beyond. This volume is based on a Fall 2010 MSRI program which generated the solution of long-standing questions on universalities of Wigner matrices and beta-ensembles, and opened new research directions especially in relation to the KPZ universality class of interacting particle systems and low-rank perturbations. The book contains review articles and research contributions on all these topics, in addition to other core aspects of random matrix theory such as integrability and free probability theory. It will give both established and new researchers insights into the most recent advances in the field and the connections among many subfields.

About the Authors

Percy Deift is a professor at the Courant Institute of Mathematical Sciences, New York University. He is the author of Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (1999) and was elected to the US National Academy of Sciences in 2009.

Peter J. Forrester is a professor in the Department of Mathematics and Statistics at the University of Melbourne, Victoria. He is the author of Log-Gases and Random Matrices (2010) and was elected to the Australian Academy of Science in 2004.