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: Statistical Properties of Deterministic Systems
  name:
    name part: Ding, Jiu.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Zhou, Aihui.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: 270 p. 4 illus. online resource.
  abstract: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
  table of contents: Foundations of Measure Theory -- Rudiments of Ergodic Theory -- Frobenius-Perron Operators -- Invariant Measures—Existence -- Invariant Measures—Computation -- Convergence Rate Analysis -- Entropy -- Applications of Invariant Measures.
  note: by Jiu Ding, Aihui Zhou.
  subject:
    topic: Mathematics
  subject:
    topic: Operator theory
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Operator Theory
  subject:
    topic: Computational Mathematics and Numerical Analysis
  classification: T57-57.97
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Tsinghua University Texts
  identifier: 9783540853671
  identifier: http://dx.doi.org/10.1007/978-3-540-85367-1
  record info:
    record creation date: 100628
    record change date: 20151204170847.0
    record identifier: 978-3-540-85367-1