img Leseprobe Leseprobe

Introduction to Random Matrices

Theory and Practice

Pierpaolo Vivo, Giacomo Livan, Marcel Novaes, et al.

ca. 53,49
Amazon iTunes Hugendubel Bü kobo Osiander Google Books Barnes&Noble Legimi
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika


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 analytical results.

Weitere Titel von diesem Autor



Edwards-Jones Replica Theory, Vandermonde matrix, Diagrammatic Method, Andreief indentity, Resolvent Method, Joint probability density function of eigenvalues, Gaussian Orthogonal Ensemble, Marcenko-Pastur distribution, Wigner's Semicircle Law, Edwards-Jones formalism, Vandermonde determinant, Wishart Matrices, Gaussian Matrices, Dyson Coulomb gas, Random Matrices with Real Spectrum, Coulomb Gas Approach, Jpdf of eigenvalues, Tracy-Widom Law, Wigner surmise, Wishart-Laguerre ensemble