Nonlinear Stochastic Operators and Associated Inhomogeneous Entangled Quantum Markov Chains

Abdessatar Souissi, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review

Abstract

In the present paper, we introduce a class of F-stochastic operators on a finite-dimensional simplex, each of which is regular, ascertaining that the species distribution in the succeeding generation corresponds to the species distribution in the previous one in the long run. It is proposed a new scheme to define non-homogeneous Markov chains contingent on the F-stochastic operators and given initial data. By means of the uniform ergodicity of the non-homogeneous Markov chain, we define a non-homogeneous (quantum) entangled Markov chain. Furthermore, it is established that the non-homogeneous entangled Markov chain enables ψ-mixing property.

Original languageEnglish
Article number11
JournalJournal of Nonlinear Mathematical Physics
Volume31
Issue number1
DOIs
Publication statusPublished - Dec 2024

Keywords

  • 37N25
  • 46L35
  • 46L55
  • Entangled
  • Markov measure
  • Quantum theory
  • Stability
  • Stochastic operator

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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