On conditions for Dobrushin's Central limit theorem for non-homogeneous Markov chains

2025/06/08 by A. Yu. Veretennikov, Veretennikov, Alexander, Aisha Nurieva +1 · 1 citation
Mathematics · #60F05 #FOS: Mathematics #Graph theory and applications #Markov Chains and Monte Carlo Methods #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2506.07287

openalex publication_date 2025/06/08 · openalex created_date 2025/10/16 · openalex updated_date 2026/07/28

Abstract

A new sufficient condition is proposed in the problem of Central Limit Theorem in the array scheme for non-homogeneous Markov Chains.

Citations

• Central limit theorem for triangular arrays of Non-Homogeneous Markov chains
• A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains

Cited by

• Ergodic Theory of Inhomogeneous Quantum Processes

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