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Compactification of the discrete state space of a Markov process. (English) Zbl 0164.19202

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[1] Chung, K. L.: Markov chains with stationary transition probabilities. 2nd ed. Berlin-Heidelberg-New York: Springer 1967. · Zbl 0146.38401
[2] Kunita, H., and T. Watanabe: Some theorems concerning resolvents over locally compact spaces. Proc. Fifth Berkeley Sympos. math. Statist. Probability II Part 2, 131-164. 1967. · Zbl 0221.60044
[3] Meyer, P. A.: Probability and potentials. Waltham: Blaisdell Publishing Co. 1966. · Zbl 0138.10401
[4] ?: Compactifications associées à une résolvante. Séminaire de Probabilités II in Lecture Notes in Math. Vol. 51, 175-199. Berlin-Heidelberg-New York: Springer 1968.
[5] Neveu, J.: Sur les états d’entrée et les états fictifs d’un processus de Markov. Ann. Inst. Henri Poincaré 17, 323-337 (1961/2). · Zbl 0113.12601
[6] Ray, D.: Resolvents, transition functions, and strongly Markovian processes. Ann. of. Math., II. Ser. 70, 43-72 (1959). · Zbl 0092.34501 · doi:10.2307/1969891
[7] Williams, David: Local time at fictitious states. Bull. Amer. math. Soc. 73, 542-544 (1967). · Zbl 0178.20601 · doi:10.1090/S0002-9904-1967-11738-5
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