Unpredictability in Markov chains

AKHMET M.

CARPATHIAN JOURNAL OF MATHEMATICS, vol.38, no.1, pp.13-19, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.37193/cjm.2022.01.02
  • Journal Name: CARPATHIAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.13-19
  • Keywords: Markov chains, the unpredictability, infinite realizations, unpredictable sequences, Poincare chaos
  • Middle East Technical University Affiliated: Yes

Abstract

We have formalized realizations of Markov chains as conveniently constructed sequences, and explained, why the random dynamics admits the unpredictability, the concept introduced in our papers previously. The method of the domain structured dynamics (dynamics on labels) has been applied. An illustrating example with a proper numerical simulation is provided.