Geodesic
Occupation times for countable Markov chairus.~II. Chains with continuous time
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 56-64

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She results of the Part I are transferred to Markov chains with continuous time. In contrast to the discrete time case we state the Markov property of the occupation time process for the simplest one-dimensional symmetric random walk with continuous time. 
@article{ZNSL_1983_130_a4,
     author = {S. S. Vallander},
     title = {Occupation times for countable {Markov} {chairus.~II.} {Chains} with continuous time},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {56--64},
     publisher = {mathdoc},
     volume = {130},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a4/}
}
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S. S. Vallander. Occupation times for countable Markov chairus.~II. Chains with continuous time. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 56-64. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a4/