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References[1] G.E. Andrews, R. Askey, R. Roy: Special functions, Cambridge University Press (1999). MR1688958 [2] J. Azéma: Quelques applications de la théorie générale des processus I, Invent. Math. 18 (1972) 293-336. MR0326848 [3] J. Azéma, Représentation d’une surmartingale bornée, ZW, 45, 1978, 191-212. MR0510025 [4] J. Azéma: Sur les fermés aléatoires, Sém.Proba. XIX, Lecture Notes in Mathematics 1123, (1985), 397-495. MR0889496 [5] J. Azéma, T. Jeulin, F. Knight, G. Mokobodzki, M. Yor: Sur les processus croissants de type injectif, Sém.Proba. XXX, Lecture Notes in Mathematics 1626, (1996), 312-343. MR1459491 [6] J. Azéma, T. Jeulin, F. Knight, M. Yor: Le théorème d’arrêt en une fin d’ensemble prévisible, Sém.Proba. XXVII, Lecture Notes in Mathematics 1557, (1993), 133-158. MR1308560 [7] J. Azéma, T. Jeulin, F. Knight, M. Yor: Quelques calculs de compensateurs impliquant l’injéctivité de certains processus croissants, Sém.Proba. XXXII, Lecture Notes in Mathematics 1686, (1998), 316-327. MR1655302 [8] J. Azéma, P.A. Meyer, M. Yor: Martingales relatives, Sém.Proba. XXVI, Lecture Notes in Mathematics 1526, (1992), 307-321. MR1232000 [9] J. Azéma, M. Yor (eds): Temps locaux, Astérisque 52-53 (1978). MR0509476 [10] J. Azéma, M. Yor: Une solution simple au problème de Skorokhod, Sém.Proba. XIII, Lecture Notes in Mathematics 721, (1979), 90-115 and 625-633. [11] J. Azéma, M. Yor: Etude d’une martingale remarquable, Sém.Proba. XXIII, Lecture Notes in Mathematics 1372, (1989), 88-130. MR1022900 [12] J. Azéma, M. Yor: Sur les zéros des martingales continues, Sém.Proba. XXVI, Lecture Notes in Mathematics 1526, (1992), 248-306. MR1231999 [13] M.T. Barlow, Study of a filtration expanded to include an honest time, ZW, 44, 1978, 307-324. MR0509204 [14] M.T. Barlow, J.W. Pitman, M. Yor: Une extension multidimensionnelle de la loi de l’arc sinus, Sém.Proba. XXIII, Lecture Notes in Mathematics 1372, (1989), 294-314. [15] M.T. Barlow, J.W. Pitman, M. Yor: On Walsh’s Brownian Motions, Sém.Proba. XXIII, Lecture Notes in Mathematics 1372, (1989), 275-293. [16] M.T. Barlow, M. Yor, Sur la construction d’une martingale continue de valeur absolue donnée, Sém.Proba. XIV, Lecture Notes in Mathematics 784, (1980), 62-75. MR0580109 [17] M.T. Barlow, M. Yor: (Semi)-martingale inequalities and local times, Z.W. 55 (1981), 237-254. MR0608019 [18] M.T. Barlow, M. Emery, F.B. Knight, S. Song, M. Yor, Autour d’un théorème de Tsirelson sur des filtrations browniennes et non browniennes, Sém.Proba. XXXII, Lecture Notes in Mathematics 1686, (1998), 264-305. MR1651223 [19] P. Biane, M. Yor, Valeurs principales associées aux temps locaux Browniens , Bull. Sci. Maths., 2e série, 111, (1987), 23-101. MR0886959 [20] J.M. Bismut, Régularité et continuité des processus, ZW, 44, 1978, 261-268. MR0505956 [21] A.N. Borodin, P. Salminen: Handbook of Brownian Motion-Facts and formulae, Birkhäuser. Second edition (2002). MR1912205 [22] P. Brémaud, M. Yor: Changes of filtration and of probability measures, Z.f.W, 45, 269-295 (1978). MR0511775 [23] K.L. Chung, J.L. Doob, Fields, optionality and measurability, Amer. J. Math, 87, 1965, 397-424. MR0214121 [24] C. Dellacherie: Capacités et processus stochastiques, Springer-Verlag (1972). MR0448504 [25] C. Dellacherie, P.A. Meyer: A propos du travail de Yor sur les grossissements des tribus, Sém.Proba. XII, Lecture Notes in Mathematics 649, (1978), 69-78 MR0519987 [26] C. Dellacherie, P.A. Meyer: Probabilités et potentiel, Hermann, Paris, vol. I 1976. [27] C. Dellacherie, P.A. Meyer: Probabilités et potentiel, Hermann, Paris, volII. 1980. MR0566768 [28] C. Dellacherie, B. Maisonneuve, P.A. Meyer: Probabilités et potentiel, Chapitres XVII-XXIV: Processus de Markov (fin), Compléments de calcul stochastique, Hermann (1992). [29] E.B. Dynkin: Some limit theorems for sums of independent random variables with infinite mathematical expectations, IMS-AMS Selected Trans. in Math Stat and Prob. 1, 171-189. in preparation. MR0116376 [30] R.J. Elliott, M. Jeanblanc, M. Yor: On models of default risk, Math. Finance, 10, 179-196 (2000). MR1802597 [31] R.K. Getoor: Excursions of a Markov process, Annals of probability, 7(2), (1979), 244-266. MR0525052 [32] D. Gilat: Every nonnegative submartingale is the absolute value of a martingale, Annals of probability, 5, (1977), 475-481. MR0433586 [33] P. Imkeller: Random times at which insiders can have free lunches, Stochastics and stochastics reports, 74, (2002), 465-487. MR1940496 [34] K. Itô: Poisson point processes attached to Markov Processes, Proc. Sixth. Berkeley Symp. Math. Stat. Prob., vol. 3, (1970), 225-239. MR0402949 [35] K. Itô, H.P. McKean: Diffusion processes and their sample paths, Springer (1974). MR0345224 [36] K. Itô, S. Watanabe, Transformation of Markov processes by multiplicative functionals, Ann. Inst. Fourier. Grenoble, 15 1, (1965), 13-30. MR0184282 [37] J. Jacod: Calcul stochastique et problèmes de martingales, Lecture Notes in Mathematics 714, (1979), 240-249. MR0542115 [38] J. Jacod: Grossissement initial, hypothèse (H’), et théorème de Girsanov, In: Grossissements de filtrations: exemples et applications, (ref [45], below) Springer (1985), 15-35. MR0884713 [39] J. Jacod, A.N. Shiryaev: Limit theorems for stochastic processes, Springer. Second edition (2003). MR1943877 [40] M. Jeanblanc, M. Rutkowski: Modeling default risk: Mathematical tools, Fixed Income and Credit risk modeling and Management, New York University, Stern School of business, Statistics and Operations Research Department, Workshop (2000). [41] T. Jeulin: Grossissement d’une filtration et applications, Sém.Proba. XIII, Lecture Notes in Mathematics 721, (1979), 574-609. MR0544826 [42] T. Jeulin: Semi-martingales et grossissements d’une filtration, Lecture Notes in Mathematics 833, Springer (1980). MR0604176 [43] T. Jeulin, M. Yor: Grossissement d’une filtration et semimartingales: formules explicites, Sém.Proba. XII, Lecture Notes in Mathematics 649, (1978), 78-97. MR0519998 [44] T. Jeulin, M. Yor: Nouveaux résultats sur sur le grossissement des tribus, Ann. Scient. ENS, 4e série, t. 11 (1978), 429-443. MR0521639 [45] T. Jeulin, M. Yor (eds): Grossissements de filtrations: exemples et applications, Lecture Notes in Mathematics 1118, Springer (1985). MR0884713 [46] F.B. Knight: Local variation of diffusion in local time, Annals of probability, 1, (1973), 1026-1034. MR0397898 [47] F.B. Knight: On the sejourn times of killed Brownian Motion, Sém.Proba. XII, Lecture Notes in Mathematics 649, (1978), 428-445. MR0520018 [48] F.B. Knight, B. Maisonneuve: A characterization of stopping times. Annals of probability, 22, (1994), 1600-1606. MR1303657 [49] P. Lévy: Sur un problème de M. Marcinkiewicz, C.R.A.S, 208, (1939), 318-321. Errata p. 776. [50] R. Mansuy, M. Yor: Random times and (enlargement of filtrations) in a Brownian setting, Lecture Notes in Mathematics, 1873, Springer (2006). MR2200733 [51] P.A. Meyer: Processus de Markov, Lecture Notes in Mathematics 26, Springer (1967). MR0219136 [52] P.A. Meyer: Le dual de H1 est BMO (cas continu), Sém.Proba. VII, Lecture Notes in Mathematics 321, (1973), 136-145. MR0410910 [53] P.A. Meyer: Un cours sur les intégrales stochastiques, Sém.Proba. X, Lecture Notes in Mathematics 511, (1978), 245-400. MR0501332 [54] P.A. Meyer: Sur un théorème de J. Jacod, Sém.Proba. XII, Lecture Notes in Mathematics 649, (1978), 57-60. MR0519995 [55] P.A. Meyer: Représentations multiplicatives de sousmartingales d’après Azéma, Sém.Proba. XIII, Lecture Notes in Mathematics 721, (1979). [56] P.A. Meyer, C. Yoeurp: Sur la décomposition multiplicative des sousmartingaless positives, Sém.Proba. XIII, Lecture Notes in Mathematics 721, (1979), 240-249. [57] P.W. Millar: Random times and decomposition theorems, Proc. Symp. Pure Math., 31, (1977), 91-103. MR0443109 [58] P.W. Millar: A path decomposition for Markov processes, Annals of probability, 6, (1978), 345-348. MR0461678 [59] A. Nikeghbali, M. Yor: A definition and some characteristic properties of pseudo-stopping times, Ann. Prob. 33, (2005) 1804-1824. MR2165580 [60] A. Nikeghbali: Enlargements of filtrations and path decompositions at non stopping times, Prob. Theory Related Fields, 136 (4), 2006, 524-540. [61] A. Nikeghbali: A class of remarkable submartingales, Stochastic Processes and their Applications 116, (2006) 917-938. MR2254665 [62] A. Nikeghbali: Some random times and martingales associated with BES0(δ) processes (0 < δ < 2), Alea 2 67-89 (2006). MR2249663 [63] A. Nikeghbali, M. Yor: Doob’s maximal identity, multiplicative decompositions and enlargements of filtrations, Illinois Journal of Mathematics, 50 (4) 791-814 (2006). MR2247846 [64] A. Nikeghbali: Non stopping times and stopping theorems, to appear in Stochastic Processes and their Applications [65] A. Nikeghbali: Multiplicative decompositions and frequency of vanishing of nonnegative submartingales, to appear in Journal of Theoretical Probability. [66] A. Nikeghbali: How badly are the Burholder-Davis-Gundy inequalities affected by arbitrary random times?, preprint, available on ArXiv. [67] J.W. Pitman, M. Yor: Bessel processes and infinitely divisible laws, In: D. Williams (ed.) Stochastic integrals, Lecture Notes in Mathematics 851, Springer (1981). MR0620995 [68] P.E. Protter: Stochastic integration and differential equations, Springer. Second edition (2005), version 2.1. MR2020294 [69] D. Revuz, M. Yor: Continuous martingales and Brownian motion, Springer. Third edition (1999). MR1725357 [70] C. Rogers, D. Williams: Diffusions, Markov processes and Martingales, vol 2: Ito calculus, Wiley and Sons, New York, 1987. MR0921238 [71] C. Stricker, Quasi-martingales, martingales locales, semimartingales et filtration naturelle, ZW, 39, (1977), 55-63. MR0471072 [72] B. Tsirelson: Triple points: from non-Brownian filtrations to harmonic measures, Geom. Func. Anal. 7(6), (1997), 1096-1142. MR1487755 [73] D. Williams: Path decomposition and continuity of local time for one-dimensional diffusions I, Proc. London Math. Soc. 3, 28 (1974), 3-28. MR0350881 [74] D. Williams: A non stopping time with the optional-stopping property, Bull. London Math. Soc. 34 (2002), 610-612. MR1912883 [75] C. Yoeurp: Théorème de Girsanov généralisé, et grossissement d’une filtration, In: Grossissements de filtrations: exemples et applications, (ref [45], above) Springer (1985), 172-196. MR0884713 [76] M. Yor: A propos d’un lemme de Ch. Yoeurp, Sém.Proba. XI, Lecture Notes in Mathematics 581, (1977), 493-450. MR0451396 [77] M. Yor: Grossissements d’une filtration et semi-martingales: théorèmes généraux, Sém.Proba. XII, Lecture Notes in Mathematics 649, (1978), 61-69. MR0519996 [78] M. Yor: Les inégalités de sous-martingales comme conséquence de la relation de domination, Stochastics 3, (1979), no.1, 1-15. MR0546696 [79] M. Yor: Inégalités de martingales continues arrêtées à un temps quelconque, I, II, In: Grossissements de filtrations: exemples et applications, (ref [45], above) Springer (1985), 110-171. MR0884713 [80] M. Yor: Some aspects of Brownian motion, Part I. Some special functionals. Birkhäuser, Basel (1992). MR1193919 [81] M. Yor: Some aspects of Brownian motion, Part II. Some recent martingale problems. Birkhauser, Basel (1997). MR1442263 |
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