The asymptotic behavior for Markov chains in a finite i.i.d random environment indexed by cayley trees

DOI10.2298/FIL1702273HzbMath1488.60009MaRDI QIDQ5005472

Hui Lin Huang

Publication date: 10 August 2021

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersMarkov chainCayley treerandom environmentShannon-Mcmillan theorem

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05)

Related Items (4)

THE SHANNON–MCMILLAN THEOREM FOR MARKOV CHAINS INDEXED BY A CAYLEY TREE IN RANDOM ENVIRONMENT ⋮ A CLASS OF SMALL DEVIATION THEOREMS FOR FUNCTIONALS OF RANDOM FIELDS ON A TREE WITH UNIFORMLY BOUNDED DEGREE IN RANDOM ENVIRONMENT ⋮ The strong law of large numbers and Shannon-McMillan theorem for Markov chains indexed by an infinite tree with uniformly bounded degree in random environment ⋮ A class of small deviation theorems for Markov chains in bi-infinite random environment

Cites Work

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• Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
• Markov chains in random environments: The case of Markovian environments
• 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
• The Asymptotic Equipartition Property for Nonhomogeneous Markov Chains Indexed by a Homogeneous Tree
• Entropic aspects of random fields on trees

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