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This article is cited in 42 scientific papers (total in 43 papers)
Boundary theory of Markov processes (the discrete case)
E. B. Dynkin
Abstract:
The paper contains a detailed account of the theory of Martin boundaries for Markov processes with a countable number of states and discrete time. The probabilistic method of Hunt is used as a basis. This method is modified so as not to go outside the limits of the usual notion of a Markov process. The generalization of this notion due to Hunt is discussed in the concluding section.
Received: 03.12.1968
Citation:
E. B. Dynkin, “Boundary theory of Markov processes (the discrete case)”, Uspekhi Mat. Nauk, 24:2(146) (1969), 3–42; Russian Math. Surveys, 24:2 (1969), 1–42
Linking options:
https://www.mathnet.ru/eng/rm5472https://doi.org/10.1070/RM1969v024n02ABEH001341 https://www.mathnet.ru/eng/rm/v24/i2/p3
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Abstract page: | 1127 | Russian version PDF: | 419 | English version PDF: | 62 | References: | 85 | First page: | 3 |
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