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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 1, Pages 131–134
(Mi tvp1124)
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Short Communications
A fine topology on the entrance boundary
V. L. Mazo Moscow
Abstract:
Markov processes in a countable phase space are considered. On the entrance boundary a fine topology is introduced, the existence of the limit of the arbitrary positive and Green's function ratio being proved. Some applications of the theorem obtained to the general boundary condition problem are described. The definitions introduced and the proofs are easily generalized to the case of an arbitrary Markov process for which the entrance boundary may be constructed.
Received: 16.10.1967
Citation:
V. L. Mazo, “A fine topology on the entrance boundary”, Teor. Veroyatnost. i Primenen., 14:1 (1969), 131–134; Theory Probab. Appl., 14:1 (1969), 132–135
Linking options:
https://www.mathnet.ru/eng/tvp1124 https://www.mathnet.ru/eng/tvp/v14/i1/p131
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