Formes de Dirichlet sur un espace de Wiener-Poisson. Application au grossissement de filtration
Denis, Laurent ; Grorud, Axel ; Pontier, Monique
Séminaire de probabilités de Strasbourg, Tome 34 (2000), p. 198-217 / Harvested from Numdam
Publié le : 2000-01-01
@article{SPS_2000__34__198_0,
     author = {Denis, Laurent and Grorud, Axel and Pontier, Monique},
     title = {Formes de Dirichlet sur un espace de Wiener-Poisson. Application au grossissement de filtration},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {34},
     year = {2000},
     pages = {198-217},
     mrnumber = {1768065},
     zbl = {0985.91027},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/SPS_2000__34__198_0}
}
Denis, Laurent; Grorud, Axel; Pontier, Monique. Formes de Dirichlet sur un espace de Wiener-Poisson. Application au grossissement de filtration. Séminaire de probabilités de Strasbourg, Tome 34 (2000) pp. 198-217. http://gdmltest.u-ga.fr/item/SPS_2000__34__198_0/

[1] I. Bardhan, X. Chao , "On martingale measures when asset returns have unpredictable jumps", Stoch. Proc. and their Applic. 63, 1996, 35-54. | MR 1411188 | Zbl 0870.90016

[2] K. Bichteler, J-B. Gravereaux et J. Jacod, "Malliavin's Calculus for Processes with Jumps", Gordon and Breach Sc. Pub., New York 1987. | MR 1008471 | Zbl 0706.60057

[3] N. Bouleau and F. Hirsch, "Dirichlet Forms and Analysis on Wiener Space", Walter de Gruyter, Berlin, 1991. | MR 1133391 | Zbl 0748.60046

[4] N. Bouleau, "Constructions of Dirichlet structures", dans Potential Theory-ICPT 94, Král/Lukes/Netuka/Vesel eds., Walter de Gruyter, 1996. | MR 1404699 | Zbl 0861.31003

[5] P. Bremaud, "Point Processes and Queues", Springer-Verlag, 1981. | MR 636252 | Zbl 0478.60004

[6] M. Chaleyat-Maurel et T. Jeulin, "Grossissement gaussien de la filtration brownienne", Séminaire de Calcul Stochastique 1982-83, Paris, Lecture Notes in Mathematics 1118, 59-109, Springer-Verlag, 1985. | MR 705695 | Zbl 0575.60046

[7] H. Federer, "Geometric Measure Theory", Springer-Verlag, Berlin-Heidelberg-New-York, 1969. | MR 257325 | Zbl 0176.00801

[8] H. Follmer and P. Imkeller, "Anticipation cancelled by a Girsanov transformation : a paradox on Wiener space", Ann. Inst. Henri Poincaré, 29(4), 1993, 569-586. | Numdam | MR 1251141 | Zbl 0796.60082

[9] M. Fukushima, Y. Oshima, M. Takeda "Dirichlet Forms and Symmetric Markov Processes", de Gruyter studies in Math., 1994. | MR 1303354 | Zbl 0838.31001

[10] A. Grorud et M. Pontier, "Comment détecter le délit d'initié ? " ,CRAS, t.324, Serie 1, p.1137-1142, 1997. | MR 1451937 | Zbl 0881.90040

[11] A. Grorud, M. Pontier, "Insider trading in a Continuous Time Market Model",I.J.T.A.F., vol. 1 (3), p. 315-330, July 1998. | Zbl 0909.90023

[12] N. Ikeda, S. Watanabe "Stochastic Differential Equations and Diffusions Processes", Second Edition, North-Holland, Amsterdam-Oxford-New-York, 1989. | MR 1011252 | Zbl 0684.60040

[13] J. Jacod, " Calcul Stochastique et Problèmes de Martingales", Lecture Notes in Mathematics 714, Springer-Verlag, 1979. | MR 542115 | Zbl 0414.60053

[14] J. Jacod, "Grossissement initial, Hypothèse H' et Théorème de Girsanov", Séminaire de Calcul Stochastique 1982-83, Paris, Lecture Notes in Mathematics 1118, Springer-Verlag 1985, 15-35. | MR 883648 | Zbl 0568.60049

[15] J. Jacod, A.N. Shiryaev, "Limit Theorems for Stochastic Processes", Springer-Verlag, 1987. | MR 959133 | Zbl 0635.60021

[16] M. Jeanblanc-Pique et M. Pontier, "Optimal Portfolio for a Small Investor in a Market Model with Discontinuous Prices" Economica 22, Paris, 1994, 287-310. | MR 1068184

[17] T. Jeulin, "Semi-martingales et grossissement de filtration", Lecture Notes in Mathematics 833, Springer-Verlag 1980. | MR 604176 | Zbl 0444.60002

[18] D. Lepingle et J. Memin, "Sur l'intégrabilité uniforme des martingales exponentielles", Z. Wahrs. verw. Geb. 42, 1978, 175-203. | MR 489492 | Zbl 0375.60069

[19] P. Malliavin, "Stochastic calculus of variations and hypoelliptic operators", Proceedings of the International Symposium on Stochastic Differential Equations, Kyoto, 1976, Kinokuniya-Wiley,1978,195-263. | Zbl 0411.60060

[20] D. Nualart, "Analysis on Wiener space and anticipating stochastic calculus", Ecole de Probabilités de Saint-Flour, 1995. | Zbl 0915.60062

[21] P. Protter, "Stochastic Integration and Diffential Equations", Springer-Verlag, 1990. | MR 1037262 | Zbl 0694.60047

[22] S. Song, "Grossissement de filtrations et problèmes connexes", thèse de doctorat de l'université de Paris VII, 29 Octobre 1987.

[23] M. Yor, "Grossissement de filtrations et absolue continuité de noyaux", Séminaire de Calcul Stochastique 1982-83, Paris, Lecture Notes in Mathematics 1118, 6-14, Springer-Verlag 1985. | MR 884713 | Zbl 0576.60038

[24] M. Yor, "Some Aspects of Brownian Motion", vol. II, Birkhaüser, 1997. | MR 1442263 | Zbl 0880.60082