A class of small deviation theorems for the random fields on an m rooted Cayley tree
نویسندگان
چکیده
* Correspondence: [email protected] Faculty of Science, Jiangsu University, Zhenjiang 212013, China Full list of author information is available at the end of the article Abstract In this paper, we are to establish a class of strong deviation theorems for the random fields relative to mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree. As corollaries, we obtain the strong law of large numbers and Shannon-McMillan theorem for mth-order nonhomogeneous Markov chains indexed by that tree. 2000 Mathematics Subject Classification: 60F15; 60J10.
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