Geodesic
Markov property of the occupation time for countable Markov chains
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 88-108 
A. A. Vorotov. Markov property of the occupation time for countable Markov chains. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 88-108. http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a4/
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     title = {Markov property of the occupation time for countable {Markov} chains},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper deals with the Markov property for the occupation time process for homogeneous Markov chain with continuous time and countable state space. The well-known result that the Markov property is valid for random walk on a tree is generalized on the case of random walk on arbitrary graph.

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