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20140310153029.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781441995148 |
|
978-1-4419-9514-8 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QC19.2-20.85 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
530.1 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-PHA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Harnad, John. |
Relator term |
editor. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Random Matrices, Random Processes and Integrable Systems |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
edited by John Harnad. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVIII, 526 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
CRM Series in Mathematical Physics |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book explores the remarkable connections between two domains that, a priori, seem unrelated: Random matrices (together with associated random processes) and integrable systems. The relations between random matrix models and the theory of classical integrable systems have long been studied. These appear mainly in the deformation theory, when parameters characterizing the measures or the domain of localization of the eigenvalues are varied. The resulting differential equations determining the partition function and correlation functions are, remarkably, of the same type as certain equations appearing in the theory of integrable systems. They may be analyzed effectively through methods based upon the Riemann-Hilbert problem of analytic function theory and by related approaches to the study of nonlinear asymptotics in the large N limit. Associated with studies of matrix models are certain stochastic processes, the "Dyson processes", and their continuum diffusion limits, which govern the spectrum in random matrix ensembles, and may also be studied by related methods. Random Matrices, Random Processes and Integrable Systems provides an in-depth examination of random matrices with applications over a vast variety of domains, including multivariate statistics, random growth models, and many others. Leaders in the field apply the theory of integrable systems to the solution of fundamental problems in random systems and processes using an interdisciplinary approach that sheds new light on a dynamic topic of current research. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Physics. |
|
Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
Topical term or geographic name as entry element |
Physics. |
|
Topical term or geographic name as entry element |
Theoretical, Mathematical and Computational Physics. |
|
Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781441995131 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-9514-8 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |