Strong Law of Large Numbers of the Offspring Empirical Measure for Markov Chains Indexed by Homogeneous Tree. (3rd April 2012)

• Record Type: Journal Article
• Authors: Huang, Huilin
• Other Names: Karamanos K. Academic Editor.; Yee E. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2012(2012)
• Publication Date: 2012-04-03
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.5402/2012/536530
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : We study the limit law of the offspring empirical measure and for Markov chains indexed by homogeneous tree with almost everywhere convergence. Then we prove a Shannon-McMillan theorem with the convergence almost everywhere.