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: Measure-Valued Branching Markov Processes
  name:
    name part: Li, Zenghu.
    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: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 350 p. online resource.
  abstract: Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups. The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
  table of contents: Preface -- 1. Random Measures on Metric Spaces -- 2. Measure-valued Branching Processes -- 3. One-dimensional Branching Processes -- 4. Branching Particle Systems -- 5. Basic Regularities of Superprocesses -- 6. Constructions by Transformations -- 7. Martingale Problems of Superprocesses -- 8. Entrance Laws and Excursion Laws -- 9. Structures of Independent Immigration -- 10. State-dependent Immigration Structures -- 11. Generalized Ornstein-Uhlenbeck Processes -- 12. Small Branching Fluctuation Limits -- 13. Appendix: Markov Processes -- Bibliography -- Index.
  note: by Zenghu Li.
  subject:
    topic: Mathematics
  subject:
    topic: Probabilities
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Probability and Its Applications
  identifier: 9783642150043
  identifier: http://dx.doi.org/10.1007/978-3-642-15004-3
  record info:
    record creation date: 101110
    record change date: 20151204160610.0
    record identifier: 978-3-642-15004-3