Tree-indexed Markov chains in random environment and some of their strong limit properties
type: Item
instance of: scholarly article
title: Tree-indexed Markov chains in random environment and some of their strong limit properties
zbMATH Open document ID: 1498.60124
author: Zhiyan Shi
author: Bei Wang
author: Weiguo Yang
author: Zhongzhi Wang
published in: Chinese Annals of Mathematics. Series B
publication date: 2022-10-04T00:00:00Z
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60K37
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 7595970
zbMATH Keywords: random environment
zbMATH Keywords: tree-indexed Markov chains
zbMATH Keywords: strong limit theorem
zbMATH Keywords: conditional entropy density
MaRDI profile type: Publication
full work available at URL: s11401-022-0349-y
OpenAlex ID: W4297922603
cites work: A sandwich proof of the Shannon-McMillan-Breiman theorem
cites work: The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
cites work: Markov chains indexed by trees
cites work: Entropic aspects of random fields on trees
cites work: The Individual Ergodic Theorem of Information Theory
cites work: A Note on the Ergodic Theorem of Information Theory
cites work: The ergodic theory of Markov chains in random environments
cites work: On direct convergence and periodicity for transition probabilities of Markov chains in random environments
cites work: On the central limit theorem for Markov chains in random environments
cites work: The Strong Law of Large Numbers and the Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree
cites work: Detection of cellular aging in a Galton-Watson process
cites work: Large deviations of Markov chains indexed by random trees
cites work: The strong law of large numbers and the Shannon-McMillan theorem for nonhomogeneous Markov chains indexed by a Cayley tree
cites work: Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
cites work: On Markov chains in space-time random environments
cites work: Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
cites work: A strong limit theorem for the average of ternary functions of Markov chains in bi-infinite random environments
cites work: An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains
cites work: The Basic Theorems of Information Theory
cites work: Q3963811
cites work: Q4742109
cites work: Automorphism invariant measures on trees
cites work: STRONG LAW OF LARGE NUMBERS FOR MARKOV CHAINS INDEXED BY SPHERICALLY SYMMETRIC TREES
cites work: A Mathematical Theory of Communication
cites work: The generalized entropy ergodic theorem for nonhomogeneous bifurcating Markov chains indexed by a binary tree
cites work: The definition of tree-indexed Markov chains in random environment and their existence
cites work: THE SHANNON–MCMILLAN THEOREM FOR MARKOV CHAINS INDEXED BY A CAYLEY TREE IN RANDOM ENVIRONMENT
cites work: Q5129427
cites work: Some limit properties for Markov chains indexed by a homogeneous tree.
cites work: Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees
cites work: The Asymptotic Equipartition Property for&lt;tex&gt;$M$&lt;/tex&gt;th-Order Nonhomogeneous Markov Information Sources
cites work: Q4221662
cites work: Q4220558
DOI: 10.1007/S11401-022-0349-Y
description: scientific article; zbMATH DE number 7595970