Strong laws of large numbers for countable Markov chains indexed by a Cayley tree

DOI10.1360/012012-47zbMath1488.60061OpenAlexW3148305481MaRDI QIDQ5017703

Zhiyan Shi, Bao Wang, Wei-guo Yang

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/012012-47

zbMATH Keywords

strong law of large numbersCayley treecountable Markov chains

Mathematics Subject Classification ID

Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (5)

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 ⋮ Strong law of large numbers of the delayed sums for Markov Chains indexed by a Cayley tree ⋮ 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 ⋮ Unnamed Item

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