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On the link between Markovian trees and tree-structured Markov chains

✍ Scribed by Sophie Hautphenne; Benny Van Houdt


Book ID
108118719
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
486 KB
Volume
201
Category
Article
ISSN
0377-2217

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On mean recurrence times of Markov chain
✍ Ricardo GΓ³mez πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 141 KB

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