Control of jump processes and applications

Jean-Michel Bismut

Bulletin de la Société Mathématique de France (1978)

  • Volume: 106, page 25-60
  • ISSN: 0037-9484

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Bismut, Jean-Michel. "Control of jump processes and applications." Bulletin de la Société Mathématique de France 106 (1978): 25-60. <http://eudml.org/doc/87325>.

@article{Bismut1978,
author = {Bismut, Jean-Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Jump Processes; Diffusions with Jumps},
language = {eng},
pages = {25-60},
publisher = {Société mathématique de France},
title = {Control of jump processes and applications},
url = {http://eudml.org/doc/87325},
volume = {106},
year = {1978},
}

TY - JOUR
AU - Bismut, Jean-Michel
TI - Control of jump processes and applications
JO - Bulletin de la Société Mathématique de France
PY - 1978
PB - Société mathématique de France
VL - 106
SP - 25
EP - 60
LA - eng
KW - Jump Processes; Diffusions with Jumps
UR - http://eudml.org/doc/87325
ER -

References

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  1. [1] BISMUT (J.-M.). — Théorie probabiliste du contrôle des diffusions, Mem. Amer. math. Soc., t. 4, 1976, n° 167, 130 p. Zbl0323.93046MR56 #11428
  2. [2] BISMUT (J.-M.). — Probability theory methods in zero-sum stochastic games, S.I.A.M. J. of Control, t. 15, 1977, p. 539-545. Zbl0358.93031MR58 #15609
  3. [3] BISMUT (J.-M.). — An approximation scheme in the control of diffusions, S.I.A.M. J. of Control (to appear). 
  4. [4] BISMUT (J.-M.) et SKALLI (B.). — Temps d'arrêt optimal, théorie générale des processus et processus de Markow, Z. für Wahrscheinlichkeitstheorie, t. 39, 1977, p. 301-313. Zbl0342.60036MR58 #31377
  5. [5] BLUMENTHAL (R. M.) and GETOOR (R. K.) — Markov processes and potential theory. — New York, Academic Press, 1968 (Pure and applied Mathematics. Academic Press, 29). Zbl0169.49204MR41 #9348
  6. [6] BOEL (R.), VARAIYA (P.) and WONG (E.). — Martingales on jump processes, I : Representation results, II : Applications, S.I.A.M. J. of Control, t. 13, 1975, p. 999-1021, p. 1022-1061. Zbl0372.60061MR53 #4213
  7. [7] BOEL (R.) and VARAIYA (P.). — Optimal control of jump processes, S.I.A.M. J. of Control, t. 15, 1977, p. 92-119. Zbl0358.93047MR55 #14384
  8. [8] DELLACHERIE (C.). — Intégrales stochastiques par rapport aux processus de Wiener et de Poisson, "Séminaire de probabilités, VIII", p. 25-26. — Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 381). Zbl0302.60049MR51 #6981a
  9. [9] DOLÉANS-DADE (C.). — Quelques applications de la formule de changement de variable pour les surmartingales, Z. Wahrscheinlichkeistheorie, t. 16, 1970, p. 181-194. Zbl0194.49104MR44 #1113
  10. [10] GRIGELIONIS (B. I.) and SHIRYAEV (A. N.). — On Stefan's problem and optimal stopping rules for Markov processes, Theory of Probability and Appl., t. 11, 1966, p. 541-558. Zbl0178.53303MR35 #7538
  11. [11] JACOD (J). — Multivariate point processes : Predictable projection, Radon-Nikodym derivatives, representation of martingales, Z. Wahrscheinlichkeitstheorie, t. 31, 1975, p. 235-253. Zbl0302.60032MR52 #1875
  12. [12] JACOD (J.). — A general theorem of representation for martingales, "Probability [1976. Urbana]", p. 37-53. — Providence, American mathematical Society, 1977 (Proceedings of Symposia in pure Mathematics, 31). Zbl0362.60068
  13. [13] JACOD (J.) et MEMIN (J.). — Caractéristiques locales et conditions de continuité absolue pour les semi-martingales, Z. für Wahrscheinlichkeitstheorie, t. 35, 1976, p. 1-37. Zbl0315.60026MR54 #6264
  14. [14] MERTENS (J. F.). — Strongly supermedian functions and optimal stopping, Z. für Wahrscheinlichkeitstheorie, t. 26, 1973, p. 119-139. Zbl0297.60038MR49 #11617
  15. [15] MEYER (P.-A.). — Probabilités et potentiels. — Paris, Hermann, 1966 (Act. scient. et ind., 1318. Zbl0138.10402MR34 #5118
  16. [16] MEYER (P.-A.). — Processus de Markov. — Berlin, Springer-Verlag, 1967 (Lecture Notes in Mathematics, n° 26). Zbl0189.51403MR36 #2219
  17. [17] MEYER (P.-A.). — Intégrales stochastiques, I, II, III, IV, «Séminaire de Probabilités I», p. 72-162. — Berlin, Springer-Verlag, 1967 (Lecture Notes in Mathematics, 39). Zbl0157.25001MR37 #7000
  18. [18] PRIOURET (P.). — Construction de processus de Markov sur Rn, "Séminaire de Probabilités, VIII", p. 316-328. — Berlin, Springer-Verlag, 1974 (Lecture Notes in Mathematics, 381). Zbl0288.60065MR51 #9226
  19. [19] ROCKAFELLAR (R. T.). — Measurable dependance of convex sets and functions on parameters, J. of Math. Anal. and Appl., t. 28, 1969, p. 4-25. Zbl0202.33804MR40 #288
  20. [20] STROOCK (D. W.) and VARADHAN (S. R. S.). — Diffusion processes with continuous coefficients, Comm. on pure and appl. Math., t. 22, 1969, p. 345-400, p. 479-530. Zbl0167.43903MR40 #6641
  21. [21] STROOCK (D. W.) and VARADHAN (S. R. S.). — Diffusion processes with boundary conditions, Comm. on pure and appl. Math., t. 24, 1971, p. 147-225. Zbl0227.76131MR43 #2774
  22. [22] STROOCK (D. W.). — Diffusion processes associated with Levy generators, Z. für Wasrcheinlichkeitstheorie, t. 32, 1975, p. 209-244. Zbl0292.60122MR55 #6587

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