Random matrices, random processes and integrable systems
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. Thes...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2011. |
| سلاسل: | CRM Series in Mathematical Physics
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Ce livre est basé en partie sur les cours donnés par les auteurs pendant l'été 2005, au Centre de recherches mathématiques à Montréal Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Random matrices, random processes and integrable systems, John Harnad, editor, 2011, New York (NY), Springer, 1 vol. (XVIII-524 p.), CRM series in mathematical physics, 1-441-99513-7 • Random Matrices, Random Processes and Integrable Systems, Texte imprimé, 9781461428770 • Random Matrices, Random Processes and Integrable Systems, Texte imprimé, 9781441995155 |
| LEADER | 04910nam a22004937a 4500 | ||
|---|---|---|---|
| 001 | 968625 | ||
| 008 | 110722q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN153861096 | ||
| 020 | |a 9781441995148 | ||
| 020 | |a 9781441995148 | ||
| 041 | 0 | |a eng | |
| 082 | |a 530.1 | ||
| 084 | |a 15-06. 2010 | ||
| 084 | |a 60-06. 2010 | ||
| 084 | |a 15B52. 2010 | ||
| 084 | |a 60B20. 2010 | ||
| 084 | |a 37M99. 2010 | ||
| 084 | |a 00B15. 2010 | ||
| 100 | 1 | |a Harnad, John P., |d 1946- | |
| 245 | 1 | 0 | |a Random matrices, random processes and integrable systems |c John Harnad, editor. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a CRM Series in Mathematical Physics |x 2627-7662 | |
| 500 | |a Ce livre est basé en partie sur les cours donnés par les auteurs pendant l'été 2005, au Centre de recherches mathématiques à Montréal | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. en fin de contribution. Index | ||
| 505 | 0 | |a Introduction by John Harnad -- Part I Random Matrices, Random Processes and Integrable Models -- Part II Random Matrices and Applications -- Chapter 1 Random and Integrable Models in Mathematics and Physics by Pierre van Moerbeke -- Chapter 2 Integrable Systems, Random Matrices, and Random Processes by Mark Adler -- Chapter 3 Integral Operators in Random Matrix Theory by Harold Widom -- Chapter 4 Lectures on Random Matrix Models by Pavel M. Bleher -- Chapter 5 Large N Asymptotics in Random Matrices by Alexander R. Its -- Chapter 6 Formal Matrix Integrals and Combinatorics of Maps by B. Eynard -- Chapter 7 Application of Random Matrix Theory to Multivariate Statistics by Momar Dieng and Craig A. Tracy | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | |a Matrices aléatoires | ||
| 650 | |a Systèmes hamiltoniens | ||
| 700 | 1 | |a Harnad, John. |4 pbd | |
| 776 | 0 | |0 156011751 |t Random matrices, random processes and integrable systems |f John Harnad, editor |d 2011 |c New York (NY) |n Springer |p 1 vol. (XVIII-524 p.) |s CRM series in mathematical physics |z 1-441-99513-7 | |
| 776 | 0 | |t Random Matrices, Random Processes and Integrable Systems |b Texte imprimé |z 9781461428770 | |
| 776 | 0 | |t Random Matrices, Random Processes and Integrable Systems |b Texte imprimé |z 9781441995155 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4419-9514-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-P65G41WV-1 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750618345 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4419-9514-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753976595 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4419-9514-8 |z Accès INSA CVL | |
| 997 | |0 968625 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||