Strong law of large numbers and Shannon-McMillan theorem for Markov chains field on Cayley tree

DOI10.1016/S0252-9602(17)30438-1zbMath0994.60069OpenAlexW2783839146MaRDI QIDQ5957118

Wen Liu, Wei-guo Yang

Publication date: 7 October 2002

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30438-1

zbMATH Keywords

strong law of large numbersrandom fieldCayley treeMarkov chains fieldShannon-McMillan theorem

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Strong limit theorems (60F15)

Related Items (4)

Shannon-McMillan theorem and strong law of large numbers for Markov chains indexed by generalized spherically symmetric trees ⋮ STRONG LAW OF LARGE NUMBERS FOR MARKOV CHAINS INDEXED BY SPHERICALLY SYMMETRIC TREES ⋮ Conditional entropy, entropy density, and strong law of large numbers for generalized controlled tree-indexed Markov chains ⋮ Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees

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