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Processes with state-dependent hitting probabilities and their equivalence under time changes. (English) Zbl 0416.60080


MSC:

60J25 Continuous-time Markov processes on general state spaces
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References:

[1] Baxter, J. R.; Chacon, R. V., Enlargement of σ-algebras and compactness of time changes, Canad. J. Math., 29, 1055-1065 (1977) · Zbl 0375.60041
[2] Blumenthal, R. M.; Getoor, R. K.; McKean, H. P., Markov processes with identical hitting distributions, Illinois J. Math., 6, 402-430 (1962) · Zbl 0133.40903
[3] Blumenthal, R. M.; Getoor, R. K., Markov Processes and Potential Theory (1968), Academic Press: Academic Press New York · Zbl 0169.49204
[5] Kharlamov, B. P., On convergence of semi-Markov walks to a continuous semi-Markov process, Theory Probability Appl., 21, 482-498 (1976) · Zbl 0366.60110
[6] Loève, M., Probability Theory (1963), Van Nostrand: Van Nostrand Princeton, N. J · Zbl 0108.14202
[7] Parthasarathy, K. R., Probability Measure on Metric Spaces (1967), Academic Press: Academic Press New York · Zbl 0153.19101
[8] Stone, C., Weak convergence of stochastic processes defined on a semi-infinite time interval, (Proc. Amer. Math. Soc., 14 (1963)), 694-696 · Zbl 0116.35602
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