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

✍ Scribed by Atsushi Imai

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
191 KB
Volume
28
Category
Article
ISSN
0196-8858

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✦ Synopsis

dedicated to professor hiroshi sato on the occasion of his 60th birthday

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.

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