Introduction to Random Matrices | Theory and Practice

Giacomo Livan (u. a.)

ISBN 10: 331970883X / ISBN 13: 9783319708836

Verlag: Springer, 2018

Introduction to Random Matrices | Theory and Practice | Giacomo Livan (u. a.) | Taschenbuch | ix | Englisch | 2018 | Springer | EAN 9783319708836 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 111074287

Inhaltsangabe:

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.

Bibliografische Details

Titel: Introduction to Random Matrices | Theory and...
Verlag: Springer
Erscheinungsdatum: 2018
Einband: Taschenbuch
Zustand: Neu