Unpredictability in Markov chains

AKHMET M.

CARPATHIAN JOURNAL OF MATHEMATICS, cilt.38, sa.1, ss.13-19, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.37193/cjm.2022.01.02
  • Dergi Adı: CARPATHIAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.13-19
  • Anahtar Kelimeler: Markov chains, the unpredictability, infinite realizations, unpredictable sequences, Poincare chaos
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.