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Sur l'equivalent du module de continuite des processus de diffusion

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Séminaire de Probabilités XXI

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Bibliographie

  1. AZENCOTT R. Grandes déviations et applications.-dans: Ecole d'été de Probabilités de St.Flour VIII-1979, Lect. Notes Math. 774, Springer, Berlin-Heidelberg-New York 1980.

    Google Scholar 

  2. BALDI P. Large Deviations and Functional Iterated Logarithm Law for Diffusion Processes-Z.Wahrscheinlichkeitstheorie verw. Gebiete 71, 435–453 (1986).

    MathSciNet  MATH  Google Scholar 

  3. BELLAICHE A. Métriques de Carnot-Carathéodory-Séminaire Arthur Besse 1982–1983.

    Google Scholar 

  4. BISMUT J.-M. Large Deviations and Malliavin Calculus.-Progress in Math. 45, Birkhäuser, Boston 1984.

    MATH  Google Scholar 

  5. CSORGO M., REVESZ P. Strong Approximation in Probability and Statistics-Academic Press, New York 1981.

    MATH  Google Scholar 

  6. DE ACOSTA A. On the functional form of Levy's Modulus of Continuity for Brownian Motion.-Z.Wahrscheinlichkeitstheorie verw. Gebiete 69, 567–569 (1985).

    Article  MATH  Google Scholar 

  7. ELIE L. Equivalent de la densité d'une diffusion en temps petit. Cas des points proches.-dans Géodésiques et diffusions en temps petit. Astérisque 84–85, 55–72 (1981).

    MATH  Google Scholar 

  8. FREIDLIN M.I., WENTZELL A.D. On small Random Perturbations of Dynamical Systems.-Russ.Math.Surveys 25, 1–55 (1970).

    MathSciNet  MATH  Google Scholar 

  9. FREIDLIN M.I., WENTZELL A.D. Some problems concerning Stability under Small Random Perturbations-Th.Probab. Appl. 17, 269–283 (1972).

    MATH  Google Scholar 

  10. FREIDLIN M.I., WENTZELL A.D. Random Perturbations of Dynamical Systems-Springer, Berlin-Heidelberg-New York 1984.

    Book  MATH  Google Scholar 

  11. GAVEAU B. Principe de moindre action, propagation de la chaleur et estimées sous-elliptiques sur certains groupes nilpotents.-Acta Math. 139, 95–159 (1977).

    Article  MathSciNet  Google Scholar 

  12. GROMOV M. Structures métriques sur les variétés Riemanniennes.-Cedic, Paris 1981.

    Google Scholar 

  13. ITO K., MCKEAN H.P. Diffusion Processes and their Sample Paths.-Springer, Berlin-Heidelberg-New York 1965.

    Book  MATH  Google Scholar 

  14. LEANDRE R. Estimation en temps petit de la densité d'une diffusion hypoelliptique.-C.R.Acad.Sc.Paris 301, 801–804 (1985).

    MathSciNet  MATH  Google Scholar 

  15. LEVY P. Théorie de l'addition des variables aléatoires.-Gauthiers-Villars, Paris 1937.

    MATH  Google Scholar 

  16. MILNOR J. Morse Theory.-Ann.Math.Studies 51, Princeton 1963.

    Google Scholar 

  17. MOLCHANOV S.A. Diffusion Processes and Riemannian Geometry-Russ.Math Surveys 30, 1–63 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  18. MUELLER C. A unification of Strassen's Law and Levy's Modulus of Continuity.-Z.Wahrscheinlichkeitstheorie verw.Gebiete 56, 163–179 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  19. PRIOURET P. Diffusions et équations différentielles stochastiques.-dans: Ecole d'été de Probabilités de St.Flour III-1973, Lect.Notes Math. 390, Springer, Berlin-Heidelberg-New York 1975.

    Google Scholar 

  20. PRIOURET P. Remarque sur les petites perturbations de systèmes dynamiques.-dans: Seminaire de Probabilités XVI, Lect.Notes Math. 920, Springer, Berlin-Heidelberg-New York 1981.

    Google Scholar 

  21. SUSSMAN H. Orbits of families of Vector Fields and Integrability of Distributions.-Trans.Am.Math.Soc. 180, 171–188 (1973).

    Article  MathSciNet  Google Scholar 

  22. VARADHAN S.R.S. Diffusion Processes in a Small Time Interval.-Comm.Pure Appl.Math. 20, 659–685 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  23. ZABCYK J. Stable Dynamical Systems under Small Perturbations.-à paraître.

    Google Scholar 

  24. JERISON D.S., SANCHEZ-CALLE A. Estimates for the heat kernel for a sum of squares of vector fields-à paraître.

    Google Scholar 

  25. KUSUOKA S., STROOCK D. Applications of Malliavin Calculus part III-à paraître.

    Google Scholar 

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Jacques Azéma Marc Yor Paul André Meyer

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© 1987 Springer-Verlag

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Baldi, P., Chaleyat-Maurel, M. (1987). Sur l'equivalent du module de continuite des processus de diffusion. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXI. Lecture Notes in Mathematics, vol 1247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077647

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  • DOI: https://doi.org/10.1007/BFb0077647

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