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A Remark on the Moyal’s Construction of Markov Processes

Published online by Cambridge University Press:  22 January 2016

Tunekiti Sirao
Tunekiti Sirao*
Affiliation:
Nagoya University
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Extract

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In the author’s previous paper [3], we used Theorem 1 of the present paper to assure the existence of a signed branching Markov process with age satisfying given conditions in [3], The purpose of this paper is to give a proof of Theorem 1.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 38 , March 1970 , pp. 91 - 101
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Dynkin, E.B.: Markov processes, vol. 1. Springer, 1965.Google Scholar
[2] Moyal, J.E.: Discontinuous Markov processes. Acta. Math., vol. 98 (1957), pp. 221–264.Google Scholar
[3] Sirao, T.: On signed branching Markov processes with age. Nagoya Math. Jour., vol. 32 (1968), pp. 155–225.Google Scholar