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
    sub title: with a view towards Number Theory
  name:
    name part: Einsiedler, Manfred.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Ward, Thomas.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 481 p. online resource.
  abstract: This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
  table of contents: Motivation -- Ergodicity, Recurrence and Mixing -- Continued Fractions -- Invariant Measures for Continuous Maps -- Conditional Measures and Algebras -- Factors and Joinings -- Furstenberg’s Proof of Szemeredi’s Theorem -- Actions of Locally Compact Groups -- Geodesic Flow on Quotients of the Hyperbolic Plane -- Nilrotation -- More Dynamics on Quotients of the Hyperbolic Plane -- Appendix A: Measure Theory -- Appendix B: Functional Analysis -- Appendix C: Topological Groups.
  note: by Manfred Einsiedler, Thomas Ward.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Measure theory
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Number Theory
  subject:
    topic: Measure and Integration
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780857290212
  identifier: http://dx.doi.org/10.1007/978-0-85729-021-2
  record info:
    record creation date: 100917
    record change date: 20151204160236.0
    record identifier: 978-0-85729-021-2