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: Ergodic Theory, Hyperbolic Dynamics and Dimension Theory
  name:
    name part: Barreira, Luis.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 290 p. 34 illus. online resource.
  abstract: Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory. The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.
  table of contents: Preface -- I Ergodic Theory -- 1.Basic Notions and Examples -- 2.Further Topics -- II Entropy and Pressure -- 3.Metric Entropy and Topological Entropy -- 4.Thermodynamic Formalism. III Hyperbolic Dynamics -- 5.Basic Notions and Examples -- 6.Invariant Manifolds and Markov Partitions -- IV Dimension Theory -- 7.Basic Notions and Examples -- 8.Dimension Theory of Hyperbolic Dynamics -- A Notions from Measure Theory -- Bibliography -- Index.
  note: by Luis Barreira.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9783642280900
  identifier: http://dx.doi.org/10.1007/978-3-642-28090-0
  record info:
    record creation date: 120427
    record change date: 20151030051128.0
    record identifier: 978-3-642-28090-0