rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Introduction to Random Matrices
    sub title: Theory and Practice
  name:
    name part: Livan, Giacomo.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Novaes, Marcel.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Vivo, Pierpaolo.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 124 p. 10 illus. in color. online resource.
  abstract: 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.
  table of contents: Preface -- Getting Started -- Value the eigenvalue -- Classified Material -- The fluid semicircle -- Saddle-point-of-view -- Time for a change -- Meet Vandermonde -- Resolve(nt) the semicircle -- One pager on eigenvectors -- Finite N -- Meet Andréief -- Finite N is not finished -- Classical Ensembles:Wishart-Laguerre -- Meet Marčenko and Pastur -- Replicas -- Replicas for GOE -- Born to be free.
  note: by Giacomo Livan, Marcel Novaes, Pierpaolo Vivo.
  subject:
    topic: Physics
  subject:
    topic: Probabilities
  subject:
    topic: Mathematical physics
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Mathematical Physics
  subject:
    topic: Statistical Physics and Dynamical Systems
  subject:
    topic: Complex Systems
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Mathematical Physics, 26
  identifier: 9783319708850
  identifier: https://doi.org/10.1007/978-3-319-70885-0
  record info:
    record creation date: 180116
    record change date: 20191027121328.0
    record identifier: 978-3-319-70885-0