Articles liés à Introduction to Random Matrices: Theory and Practice

Introduction to Random Matrices: Theory and Practice - Couverture souple

Livre 25 sur 40: SpringerBriefs in Mathematical Physics

Livan, Giacomo; Novaes, Marcel; Vivo, Pierpaolo

 
9783319708836: Introduction to Random Matrices: Theory and Practice
Couverture souple
ISBN 10 : 331970883X ISBN 13 : 9783319708836
Editeur : Springer, 2018

Synopsis

Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on style, without sacrificing formal rigor fills this gap. It brings Ph.D. students in Physics, as well as more senior practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum.
The main guiding threads throughout the book are the Gaussian Ensembles. In particular, Wigner’s semicircle law is derived multiple times to illustrate several techniques  (e.g., Coulomb gas approach, replica theory).
Most chapters are accompanied by Matlab codes (stored in an online repository) to guide readers through the numerical check of most analyticalresults.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2018
Langue
anglais
ISBN 10 
331970883X
ISBN 13 
9783319708836
Reliure
Broché
Numéro d'édition
1
Nombre de pages
124
Coordonnées du fabricant
non disponible
Personne responsable
non disponible