On Marginal Processes of Quadratic Stochastic Processes

Farrukh Mukhamedov, Nurul Akma Supar

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

It is known that the theory of Markov processes is a rapidly developing field with numerous applications to many branches of mathematics and physics, biology, and so on. But there are some physical models which cannot be described by such processes. One of such models is related to population genetics. These processes are called quadratic stochastic processes (q.s.p.). In the present paper, we associate to given q.s.p. two kind of processes, which call marginal processes. Note that one of them is Markov process. We prove that such kind of processes uniquely define q.s.p. Moreover, we provide a construction of nontrivial examples of q.s.p. Weak ergodicity of q.s.p. is also studied in terms of the marginal processes.

Original languageEnglish
Pages (from-to)1281-1296
Number of pages16
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume38
Issue number3
DOIs
Publication statusPublished - Jul 4 2015
Externally publishedYes

Keywords

  • Marginal process
  • Markov process
  • Quadratic stochastic process
  • Weak ergodicity

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'On Marginal Processes of Quadratic Stochastic Processes'. Together they form a unique fingerprint.

Cite this