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Spanning Forests of Digraphs and Limiting Probabilities of Markov Chains

✍ Scribed by Pavel Chebotarev


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
130 KB
Volume
11
Category
Article
ISSN
1571-0653

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On mean recurrence times of Markov chain
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We show that the mean recurrence times of (countable state) irreducible and positively recurrent Markov chains are the spanning tree invariants of the first return loop systems. Then, by the Perron-Frobenius Theorem, the spanning tree invariants of the first return loop systems of a finite state Mar