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Autour d'un théorème de tsirelson sur des filtrations Browniennes et non Browniennes

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Références

  1. J. Azéma, T. Jeulin, F. Knight, G. Mokobodzki & M. Yor. Sur les processus croissants de type injectif. Séminaire de Probabilités XXX, Lecture Notes in Mathematics 1626, Springer 1996.

    Google Scholar 

  2. J. Azéma, P. A. Meyer & M. Yor. Martingales relatives. Séminaire de Probabilités XXVI, Lecture Notes in Mathematics 1526, Springer 1992.

    Google Scholar 

  3. J. Azéma & M. Yor. Sur les zéros des martingales continues. Séminaire de Probabilités XXVI, Lecture Notes in Mathematics 1526, Springer 1992.

    Google Scholar 

  4. M.T. Barlow, J.W. Pitman & M. Yor. On Walsh's Brownian motions. Séminaire de Probabilités XXIII, Lecture Notes in Mathematics 1372, Springer 1989.

    Google Scholar 

  5. F. Delbaen. A remark on Slutsky's theorem. Dans ce volume.

    Google Scholar 

  6. C. Dellacherie & P. A. Meyer. Probabilités et Potentiel. Chapitres V à VIII. Hermann, 1980.

    Google Scholar 

  7. C. Dellacherie, B. Maisonneuve & P. A. Meyer. Probabilités et Potentiel. Chapitres XVII à XXIV: Processus de Markov (fin), Compléments de calcul stochastique Hermann, 1992.

    Google Scholar 

  8. L.E. Dubins, J. Feldman, M. Smorodinsky & B. Tsirelson. Decreasing sequences of σ-fields and a measure change for Brownian motion. Ann. Prob. 24, 882–904, 1996.

    Article  MathSciNet  MATH  Google Scholar 

  9. P.R. Halmos. The decomposition of measures. Duke Math. J. 9, 386–392, 1941.

    Article  MathSciNet  MATH  Google Scholar 

  10. J.M. Harrison & L.A. Shepp On skew Brownian motion. Ann. Prob. 9, 309–313, 1981.

    Article  MathSciNet  MATH  Google Scholar 

  11. K. Itô & H.P. McKean, Jr. Diffusion Processes and their Sample Paths. Springer, 1965.

    Google Scholar 

  12. F.B. Knight. Poisson representation of strict regular step filtrations. Séminaire de Probabilités XX, Lecture Notes in Mathematics 1204, Springer 1986.

    Google Scholar 

  13. D. Maharan. On homogeneous measure algebras. Proc. Nat. Acad. Sc. 28, 108–111, 1942.

    Article  MathSciNet  Google Scholar 

  14. P.A. Meyer. Un cours sur les intégrales stochastiques. Séminaire de Probabilités X, Lecture Notes in Mathematics 511, Springer 1976.

    Google Scholar 

  15. P.A. Meyer, R.T. Smythe & J.B. Walsh. Birth and death of Markov processes. Proc. 6th Berkeley Sympos. Math. Statist. Probab. 3, 295–305, 1972.

    MathSciNet  MATH  Google Scholar 

  16. J. Neveu. Sur l'espérance conditionnelle par rapport à un mouvement brownien. Ann. Inst. Henri Poincaré, Section B 12, 105–109, 1976.

    MathSciNet  MATH  Google Scholar 

  17. C. Rainer. Fermés marqués, filtrations lentes, équations de structure. Thèse de Doctorat de l'Université de Paris VI, 1994.

    Google Scholar 

  18. D. Revuz & M. Yor. Continuous Martingales and Brownian Motion. Springer, 1991.

    Google Scholar 

  19. W. Schachermayer. On certain probabilities equivalent to Wiener measure, d'après Dubins, Feldman, Smorodinsky and Tsirelson. À paraître au Séminaire de Probabilités XXXIII.

    Google Scholar 

  20. B. Tsirelson. Triple points: From non-Brownian filtrations to harmonic measures. GAFA, Geom. Funct. anal. 7, 1096–1142, 1997.

    Article  MathSciNet  MATH  Google Scholar 

  21. E. Vernocchi. Considerazioni sul moto browniano di Walsh. Tesi di Laurea, Università degli Studi di Milano, 1993.

    Google Scholar 

  22. J.B. Walsh. A diffusion with a discontinuous local time. Temps Locaux, Astérisque 52–53, 37–45, 1978.

    Google Scholar 

  23. M. Yor. Sur l'étude des martingales continues extrémales. Stochastics 2, 191–196, 1979.

    Article  MathSciNet  MATH  Google Scholar 

  24. M. Yor. Sur la continuité des temps locaux associés à certaines semimartingales. Temps Locaux, Astérisque 52–53, 23–35, 1978.

    Google Scholar 

  25. M. Yor. Sur le balayage des semimartingales continues. Séminaire de Probabilités XIII, Lecture Notes in Mathematics 721, Springer 1979.

    Google Scholar 

  26. M. Yor. Some Aspects of Brownian Motion. Part II: Some Recent Martingale Problems. Lectures in Mathematics, ETH Zürich. Birkhäuser, 1997.

    Book  MATH  Google Scholar 

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Jacques Azéma Marc Yor Michel Émery Michel Ledoux

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© 1998 Springer-Verlag

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Barlow, M.T., Émery, M., Knight, F.B., Song, S., Yor, M. (1998). Autour d'un théorème de tsirelson sur des filtrations Browniennes et non Browniennes. In: Azéma, J., Yor, M., Émery, M., Ledoux, M. (eds) Séminaire de Probabilités XXXII. Lecture Notes in Mathematics, vol 1686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101763

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  • DOI: https://doi.org/10.1007/BFb0101763

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