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612-822-4611
Introduction to Random Matrices: Theory and Practice

Introduction to Random Matrices: Theory and Practice

Paperback

Series: Springerbriefs in Mathematical Physics, Book 26

General SciencePhysicsProbability & Statistics

ISBN10: 331970883X
ISBN13: 9783319708836
Publisher: Springer
Published: Jan 25 2018
Pages: 124
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English
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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