---
_id: '567'
abstract:
- lang: eng
  text: "This book is a concise and self-contained introduction of recent techniques
    to prove local spectral universality for large random matrices. Random matrix
    theory is a fast expanding research area, and this book mainly focuses on the
    methods that the authors participated in developing over the past few years. Many
    other interesting topics are not included, and neither are several new developments
    within the framework of these methods. The authors have chosen instead to present
    key concepts that they believe are the core of these methods and should be relevant
    for future applications. They keep technicalities to a minimum to make the book
    accessible to graduate students. With this in mind, they include in this book
    the basic notions and tools for high-dimensional analysis, such as large deviation,
    entropy, Dirichlet form, and the logarithmic Sobolev inequality.\r\n"
alternative_title:
- Courant Lecture Notes
article_processing_charge: No
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Horng
  full_name: Yau, Horng
  last_name: Yau
citation:
  ama: Erdös L, Yau H. <i>A Dynamical Approach to Random Matrix Theory</i>. Vol 28.
    American Mathematical Society; 2017. doi:<a href="https://doi.org/10.1090/cln/028">10.1090/cln/028</a>
  apa: Erdös, L., &#38; Yau, H. (2017). <i>A Dynamical Approach to Random Matrix Theory</i>
    (Vol. 28). American Mathematical Society. <a href="https://doi.org/10.1090/cln/028">https://doi.org/10.1090/cln/028</a>
  chicago: Erdös, László, and Horng Yau. <i>A Dynamical Approach to Random Matrix
    Theory</i>. Vol. 28. Courant Lecture Notes. American Mathematical Society, 2017.
    <a href="https://doi.org/10.1090/cln/028">https://doi.org/10.1090/cln/028</a>.
  ieee: L. Erdös and H. Yau, <i>A Dynamical Approach to Random Matrix Theory</i>,
    vol. 28. American Mathematical Society, 2017.
  ista: Erdös L, Yau H. 2017. A Dynamical Approach to Random Matrix Theory, American
    Mathematical Society, 226p.
  mla: Erdös, László, and Horng Yau. <i>A Dynamical Approach to Random Matrix Theory</i>.
    Vol. 28, American Mathematical Society, 2017, doi:<a href="https://doi.org/10.1090/cln/028">10.1090/cln/028</a>.
  short: L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American
    Mathematical Society, 2017.
date_created: 2018-12-11T11:47:13Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2022-05-24T06:57:28Z
day: '01'
department:
- _id: LaEr
doi: 10.1090/cln/028
ec_funded: 1
intvolume: '        28'
language:
- iso: eng
month: '01'
oa_version: None
page: '226'
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '338804'
  name: Random matrices, universality and disordered quantum systems
publication_identifier:
  eisbn:
  - 978-1-4704-4194-4
  isbn:
  - 9-781-4704-3648-3
publication_status: published
publisher: American Mathematical Society
publist_id: '7247'
quality_controlled: '1'
series_title: Courant Lecture Notes
status: public
title: A Dynamical Approach to Random Matrix Theory
type: book
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2017'
...