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: Quadratic stochastic operators on infinite state space
    sub title: some rigorious and computational results
  name:
    name part: Nur Zatul Akmar binti Hamzah
    role:
      role term: creator
    role:
      role term: author
  name:
    name part: International Islamic University Malaysia
    name part: Kulliyyah of Science
  genre: Theses, IIUM local
  origin info:
    place:
      place term: my
    date issued: 2016
  language:
    language term: eng
  physical description:
    extent: xiv, 181 leaves : illustrations ; 30cm.
  abstract: The theory of quadratic stochastic operator (QSO) on finite state space is well developed to the study of the limiting behaviour and ergodic properties of trajectories of QSO. Thus, it motivates us to extend and introduce the theory of QSO on infinite state space. In this thesis, we constructed some new classes of quadratic stochastic operator on infinite state space, namely, Geometric QSO, Poisson QSO, Lebesgue QSO and Gaussian QSO. Moreover, we provide some analytical proof and computational numerical analysis to show the ergodicity and regularity of the constructed QSOs. It is shown that the Geometric QSO, Poisson QSO, and Lebesgue QSO are regular and ergodic. While, for Gaussian QSO, it is shown that they are regular for some values of parameters and nonregular for other values of parameters.
  note: by Nur Zatul Akmar binti Hamzah
  note: Thesis (Ph.D)--International Islamic University Malaysia, 2016.
  note: Includes bibliographical references (leaves 153-156).
  subject:
    geographic code: a-my---
  classification: QA274.2
  identifier: https://lib.iium.edu.my/mom/services/mom/document/getFile/WCTItE7PUzYzJ9XSx7Tpc8lCmrnLljkm20161209093448604
  record info:
    record content source: UIAM
    record creation date: 160808
    language of cataloging:
      language term: eng