On improved bounds and conditions for the convergence of Markov chains

DOI10.1070/IM9076zbMath1487.60130OpenAlexW3183093347MaRDI QIDQ5068109

Alexander Yu. Veretennikov, Maria A. Veretennikova

Publication date: 5 April 2022

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im9076

zbMATH Keywords

rate of convergenceMarkov chainsergodicitygeneralization of Markov-Dobrushin condition

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodicity, mixing, rates of mixing (37A25)

Cites Work

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• Geometric bounds for eigenvalues of Markov chains
• On the computational aspects of the theory of joint spectral radius
• Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung
• Ergodic Markov processes and Poisson equations (lecture notes)
• On convergence rates for homogeneous Markov chains
• On asymptotics for Vaserstein coupling of Markov chains
• General Irreducible Markov Chains and Non-Negative Operators
• A maximal coupling for Markov chains

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