Time dependent subordination and Markov processes with jumps
Nagasawa, Masao ; Tanaka, Hiroshi
Séminaire de probabilités de Strasbourg, Tome 34 (2000), p. 257-288 / Harvested from Numdam
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@article{SPS_2000__34__257_0,
     author = {Nagasawa, Masao and Tanaka, Hiroshi},
     title = {Time dependent subordination and Markov processes with jumps},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {34},
     year = {2000},
     pages = {257-288},
     mrnumber = {1768068},
     zbl = {0963.60062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_2000__34__257_0}
}

Nagasawa, Masao; Tanaka, Hiroshi. Time dependent subordination and Markov processes with jumps. Séminaire de probabilités de Strasbourg, Tome 34 (2000) pp. 257-288. http://gdmltest.u-ga.fr/item/SPS_2000__34__257_0/

Bochner, S., (1949): Diffusion equations and stochastic processes. Proc. Nat. Acad. Sci. USA, 35, 368-370. | MR 30151 | Zbl 0033.06803

Itô, K., (1951): On stochastic differential equations. Memoirs of the AMS, 4. American Math. Soc. | MR 40618 | Zbl 0054.05803

Kunita, H. & Watanabe, S., (1967) On square integrable martingales. Nagoya Math. J. 30, 209-245. | Zbl 0167.46602

Nagasawa, M., (1993): Schrödinger equations and Diffusion Theory. Birkhäuser Verlag, Basel Boston Berlin. | MR 1227100 | Zbl 0780.60003

Nagasawa, M., (1996): Quantum theory, theory of Brownian motions, and relativity theory. Chaos, Solitons and Fractals, 7, 631-643. | MR 1405642 | Zbl 05007112

Nagasawa, M., (1997): Time reversal of Markov processes and relativistic quantum theory. Chaos, Solitons and Fractals, 8, 1711-1772. | MR 1477258 | Zbl 0935.81040

Nagasawa, M., Tanaka, H., (1998): Stochastic differential equations of pure-jumps in relativistic quantum theory. Chaos, Solitons and Fractals, 10, No 8, 1265-1280. | MR 1697664 | Zbl 0963.81009

Nagasawa, M., Tanaka, H., (1999): The principle of variation for relativistic quantum particles. Preprint.

Sato, K., (1990): Subordination depending on a parameter. Probability Theory and Mathematical Statistics, Proc. Fifth Vilnius Conf. Vol. 2, 372-382. | MR 1153891 | Zbl 0732.60016