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Introduction to Random Matrices: Theory and Practice (SpringerBriefs in Mathematical Physics, Band 26) - Softcover

Buch 25 von 40: SpringerBriefs in Mathematical Physics

Livan, Giacomo; Novaes, Marcel; Vivo, Pierpaolo

 
9783319708836: Introduction to Random Matrices: Theory and Practice (SpringerBriefs in Mathematical Physics, Band 26)
Softcover
ISBN 10: 331970883X ISBN 13: 9783319708836
Verlag: Springer, 2018

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.

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Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
331970883X
ISBN 13 
9783319708836
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
133
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