Log-gases and random matrices (Record no. 77)

000 -LEADER
fixed length control field 01923nam a2200169Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230831152717.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170804s2010 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691128290
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Forrester, Peter J.
245 ## - TITLE STATEMENT
Title Log-gases and random matrices
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Princeton University Press,
Date of publication, distribution, etc. c2010
Place of publication, distribution, etc. Princeton, U.S.:
490 ## - SERIES STATEMENT
Series statement London Mathematical Society Monographs
520 ## - SUMMARY, ETC.
Summary, etc. Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials.<br/><br/><br/>Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Checked out Koha item type
          ICTS Rack No 4 04/19/2012 QA188 00077 10/31/2022 Book