On a ψ-Mixing property for Entangled Markov Chains

Abdessatar Souissi, El Gheteb Soueidy and Abdessatar Barhoumi

Physica A: Statistical Mechanics and its Applications, 2023, vol. 613, issue C

Abstract: We study a mixing condition for entangled Markov chains, so-called ψ-mixing property. We prove that every entangled Markov chain, whose Markov operators satisfy the Markov–Dobrushin condition, is ψ-mixing. Moreover, we show the restriction of the underlying QMC to the diagonal algebra gives rise to a classical mixing Markov chains with the same exponential rate of convergence.

Keywords: Mixing property; Markov-Dobrushin inequality; Entangled Markov chains; Ergodic Markov chains (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:613:y:2023:i:c:s0378437123000882

DOI: 10.1016/j.physa.2023.128533

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