书目名称 | Introduction to Random Matrices |
副标题 | Theory and Practice |
编辑 | Giacomo Livan,Marcel Novaes,Pierpaolo Vivo |
视频video | http://file.papertrans.cn/475/474115/474115.mp4 |
概述 | Includes supplementary material: |
丛书名称 | SpringerBriefs in Mathematical Physics |
图书封面 |  |
描述 | 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.. |
出版日期 | Book 2018 |
关键词 | Coulomb Gas Approach; Diagrammatic Method; Edwards-Jones Replica Theory; Gaussian Matrices; Random Matri |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-70885-0 |
isbn_softcover | 978-3-319-70883-6 |
isbn_ebook | 978-3-319-70885-0Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
issn_series | 2197-1757 |
copyright | The Author(s) 2018 |