A class of strong limit theorems for inhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system

DOI10.1007/S11253-012-0597-1zbMath1260.60060OpenAlexW1974866790MaRDI QIDQ1760002

Kang-Kang Wang

Publication date: 23 November 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0597-1

zbMATH Keywords

Markov chainmartingalegames on graphsBethe tree

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Games involving graphs (91A43) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Games on graphs (graph-theoretic aspects) (05C57)

Cites Work

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• Automorphism invariant measures on trees
• Markov random fields on an infinite tree
• Markov chains indexed by trees
• Some limit properties for Markov chains indexed by a homogeneous tree.
• The Asymptotic Equipartition Property for Nonhomogeneous Markov Chains Indexed by a Homogeneous Tree
• Entropic aspects of random fields on trees
• Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees
• SOME STRONG LIMIT THEOREMS FOR MARKOV CHAIN FIELDS ON TREES

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