Limit theorems for asymptotic circular mth-order Markov chains indexed by an m-rooted homogeneous tree

DOI10.2298/FIL1906817HzbMath1499.60254MaRDI QIDQ5080803

Hui Lin Huang, Wei-guo Yang

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersasymptotic equipartition property\(m\)-rooted homogeneous treeasymptotic circular Markov chain

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Cites Work

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• Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
• Some limit properties for the \(m\)th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree
• Automorphism invariant measures on trees
• Markov chains indexed by trees
• Some limit properties for Markov chains indexed by a homogeneous tree.
• Strong law of large numbers for Markov chains field on a Bethe tree
• Erratum to “THE ASYMPTOTIC EQUIPARTITION PROPERTY FOR ASYMPTOTIC CIRCULAR MARKOV CHAINS” [Probability in the Engineering and Informational Sciences, 24, 2010, 279–288]
• The Asymptotic Equipartition Property for<tex>$M$</tex>th-Order Nonhomogeneous Markov Information Sources
• The Asymptotic Equipartition Property for Nonhomogeneous Markov Chains Indexed by a Homogeneous Tree
• THE ASYMPTOTIC EQUIPARTITION PROPERTY FOR ASYMPTOTIC CIRCULAR MARKOV CHAINS
• Entropic aspects of random fields on trees

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