Creation of Mass Processes and Perturbation Theory
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 456-467

Voir la notice de l'article provenant de la source Cambridge University Press

Creation of mass processes were treated lately by several authors. The idea was to find some generalized Markov process that will correspond to a semigroup of operators which are not necessarily contraction operators (or equivalently to a quasi transition function which is not submarkov). It was G. A. Hunt [6] who first suggested the idea of Markov processes in which both the starting time and the terminal time are random. Such processes were constructed by Helms [4] and treated also by Nagasawa [12] and the author [10].
Leviatan, Talma. Creation of Mass Processes and Perturbation Theory. Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 456-467. doi: 10.4153/CJM-1973-046-5
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[1] 1. Blumenthal, R. M. and Getoor, R. K., Markov processes and potential theory (Academic Press, New York and London, 1969). Google Scholar

[2] 2. Dunford, N. and Schwartz, J., Linear operators. Part I: General theory (Interscience Publication Inc., New York, 1964). Google Scholar

[3] 3. Dynkin, E. B., Markov processes. Vol. I (Springer-Verlag, Berlin, 1965). Google Scholar

[4] 4. Helms, L. L., Markov processes with creation of mass. I, II; Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 7 (1967), 225-234; 15 (1970), 208–218. Google Scholar

[5] 5. Hunt, G. A., Markov processes and potentials. II, Illinois J. Math. 1 (1957), 316–369. Google Scholar

[6] 6. Hunt, G. A., Markov chains and Martin boundaries, Illinois J. Math. 4 (1960), 313–340. Google Scholar

[7] 7. Ikeda, N., Nagasawa, M., and Watanabe, S., Branching Markov processes, Math. Kyoto Univ. 8 (1968), 233-278, 365-410; 9 (1969), 95–160. Google Scholar

[8] 8. Ito, K. and Mckean, H. P., Jr., Diffusion processes and their sample path (Springer-Ver lag, Berlin, 1965). Google Scholar

[9] 9. Knight, F. B., A path space for positive semigroups, Illinois J. Math. 13 (1969), 542–563. Google Scholar

[10] 10. Leviatan, T., Perturbations of Markov processes, J. Functional Analysis 10 (1972), 309–325. Google Scholar

[11] 11. Meyer, P. A., Probability and potentials (Blandsdell Pub. 10, Waltham, Mass., 1966). Google Scholar

[12] 12. Nagasawa, M., Markov processes with creation and annihilation, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete U (1969), 49-70. Google Scholar

[13] 13. Silverstein, M. L., Markov processes with creation of particles, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 9 (1968), 235–257. Google Scholar

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