The Difference between Letters and a Martin Kernel of a Modulo 5 Markov Chain

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Abstract:

We determine the Green function on the modulo 5 Markov chain by considering the behavior of the difference (as an additive operator on the module) between letters. Moreover, we show that its Martin boundary is the pentakun. This extends the results obtained by Denker and Sato. © 2002 Elsevier Science (USA).

Keywords: Markov chain; Martin boundary

Document Type: Research Article

Affiliations: Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan

Publication date: January 1, 2002

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