Occupation times for countable Markov chains III. Chains on a tree with one branching point
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 25-38
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There is given a detailed description of the Green function for Markov chains on a tree with one branching point. In the case of chains with continuous time, one proves the Markov property of the field of the occupation times.
@article{ZNSL_1985_142_a1,
author = {S. S. Vallander},
title = {Occupation times for countable {Markov} {chains~III.} {Chains} on a~tree with one branching point},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {25--38},
year = {1985},
volume = {142},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a1/}
}
S. S. Vallander. Occupation times for countable Markov chains III. Chains on a tree with one branching point. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 25-38. http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a1/