Introduction to Random Matrices

Theory and Practice

von

Livan, GiacomoNovaes, MarcelVivo, Pierpaolo

BuchKartoniert, Paperback

Verkaufsrang14015inPhysik - Astronomie

EUR73,95

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.

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Details

ISBN/EAN978-3-319-70883-6

ProduktartBuch

EinbandKartoniert, Paperback

Verlag

Springer

Erscheinungsdatum25.01.2018

Auflage1st ed. 2018

ReiheSpringerBriefs in Mathematical Physics

Reihen-Nr.26

Seiten124 Seiten

SpracheEnglisch

IllustrationenIX, 124 p. 10 illus. in color.

Artikel-Nr.14624058

WarengruppePhysik - Astronomie

Weitere Details

Reihe

Introduction to Supergravity

Quantum States of Light

Bessel Processes, Schramm¿Loewner Evolution, and the Dyson Model

Free Boundary Problems in PDEs and Particle Systems

Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory

The Kadison-Singer Property

A Combinatorial Perspective on Quantum Field Theory

Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics

Reflected Brownian Motions in the KPZ Universality Class

Random Matrix Theory with an External Source

Formality Theory

Linear Response Theory

KP Solitons and the Grassmannians

A Computational Non-commutative Geometry Program for Disordered Topological Insulators

Schramm¿Loewner Evolution

Hadamard States from Light-like Hypersurfaces