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Cover: 9783319708836 | Introduction to Random Matrices | Theory and Practice | Livan (u. a.)
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Introduction to Random Matrices
Theory and Practice
Taschenbuch von Giacomo Livan (u. a.)
Sprache: Englisch

62,15 €*

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Beschreibung
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.
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.
Inhaltsverzeichnis
Preface.- Getting Started.- Value the eigenvalue.- Classified Material.- The fluid semicircle.- Saddle-point-of-view.- Time for a change.- Meet Vandermonde.- Resolve(nt) the semicircle.- One pager on eigenvectors.- Finite N.- Meet Andréief.- Finite N is not finished.- Classical Ensembles:Wishart-Laguerre.- Meet Marcenko and Pastur.- Replicas.- Replicas for GOE.- Born to be free.
Details
Erscheinungsjahr: 2018
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Seiten: 124
Inhalt: ix
124 S.
10 farbige Illustr.
124 p. 10 illus. in color.
ISBN-13: 9783319708836
ISBN-10: 331970883X
Sprache: Englisch
Herstellernummer: 978-3-319-70883-6
Autor: Livan, Giacomo
Novaes, Marcel
Vivo, Pierpaolo
Auflage: 1st ed. 2018
Hersteller: Springer
Springer, Berlin
Springer International Publishing
Abbildungen: IX, 124 p. 10 illus. in color.
Maße: 8 x 157 x 235 mm
Von/Mit: Giacomo Livan (u. a.)
Erscheinungsdatum: 25.01.2018
Gewicht: 0,23 kg
preigu-id: 111074287
Inhaltsverzeichnis
Preface.- Getting Started.- Value the eigenvalue.- Classified Material.- The fluid semicircle.- Saddle-point-of-view.- Time for a change.- Meet Vandermonde.- Resolve(nt) the semicircle.- One pager on eigenvectors.- Finite N.- Meet Andréief.- Finite N is not finished.- Classical Ensembles:Wishart-Laguerre.- Meet Marcenko and Pastur.- Replicas.- Replicas for GOE.- Born to be free.
Details
Erscheinungsjahr: 2018
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Seiten: 124
Inhalt: ix
124 S.
10 farbige Illustr.
124 p. 10 illus. in color.
ISBN-13: 9783319708836
ISBN-10: 331970883X
Sprache: Englisch
Herstellernummer: 978-3-319-70883-6
Autor: Livan, Giacomo
Novaes, Marcel
Vivo, Pierpaolo
Auflage: 1st ed. 2018
Hersteller: Springer
Springer, Berlin
Springer International Publishing
Abbildungen: IX, 124 p. 10 illus. in color.
Maße: 8 x 157 x 235 mm
Von/Mit: Giacomo Livan (u. a.)
Erscheinungsdatum: 25.01.2018
Gewicht: 0,23 kg
preigu-id: 111074287
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