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A fundamental property of Markov processes with an application to equivalence under time changes. (English) Zbl 0432.60088


MSC:

60J25 Continuous-time Markov processes on general state spaces
60G17 Sample path properties
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References:

[1] R. M. Blumenthal and R. K. Getoor,Markov Processes and Potential Theory, Academic Press, New York, 1968. · Zbl 0169.49204
[2] R. V. Chacon and B. Jamison,Processes with state-dependent hitting probabilities and their equivalence under time changes, to appear in Advances in Math. · Zbl 0416.60080
[3] L. E. Dubins and G. Schwartz,On continuous martingales, Proc. Nat. Acad. Sci. USA53 (1965), 913–916. · Zbl 0203.17504
[4] E. B. Dynkin,Markov Processes, Vol. I, Springer Verlag, Berlin, 1965. · Zbl 0132.37901
[5] M. Loéve,Probability theory (3rd. ed.), Van Nostrand, New York, 1963.
[6] P. A. Meyer,Probability and Potentials, Blaisdell, Boston, 1966. · Zbl 0138.10401
[7] P. A. Meyer,La theorie de la prediction de F. Knight, Seminaire de Pr. X, Lecture Notes n{\(\deg\)} 57, Springer-Verlag, 1976.
[8] R. V. Chacon and B. Jamison,Sample path consistency for Markov processes, to appear. · Zbl 0472.60064
[9] R. V. Chacon and B. Jamison,Traversal times of Markov processes, Bull. Amer. Math. Soc.1 (1979). · Zbl 0416.60081
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