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Conditional expectations for derivatives of certain stochastic flows

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Séminaire de Probabilités XXVII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1557))

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References

  1. Arnold, L: A formula connecting sample and moment stability of linear stochastic systems. SIAM J.-App. Math.44, p. 793–802 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  2. Elworthy, K.D: Stochastic Differential Equations on Manifolds. Cambridge University Press, Cambridge: 1982.

    Book  MATH  Google Scholar 

  3. Elworthy, K.D: Stochastic flows on Riemannian manifolds. In: Diffusion Processes and Related Problems in Analysis, vol. II (M.A. Pinsky and V. Wihstutz, eds), p. 37–72. Progress in Probabilityno 27. Birkhaüser (1992).

    Google Scholar 

  4. Elworthy, K.D: Geometric aspects of diffusions on manifolds. In: Ecole d'Eté de Probabilités de Saint-Flour, XV–XVII, 1985–1987 (P.L. Hennequin, ed.), p. 276–425. Lecture Notes in Maths.no 1362, Springer (1987).

    Google Scholar 

  5. Elworthy, K.D: Stochastic Differential Geometry. Tables Rondes de St Chéron (Janvier 1992). Bull. Sci. Maths. (1993).

    Google Scholar 

  6. Elworthy, K.D, Rosenberg S: Generalized Bochner theorems and the spectrum of complete manifolds. Acta. App. Math.12, p. 1–33 (1988).

    MathSciNet  MATH  Google Scholar 

  7. Elworthy, K.D, Rosenberg S: Manifolds with wells of negative curvature Invent. Math., vol. 103, p. 471–495 (1991).

    Article  MathSciNet  MATH  Google Scholar 

  8. Goldberg, S.I: Curvature and Homology. Academic Press, 1962.

    Google Scholar 

  9. Jacod J, Yor, M: Etude des solutions extrémales, et représentation intégrale des solutions pour certains problèmes de martingales. Zeit. für Wahr.38, 1977, p. 83–125.

    Article  MathSciNet  MATH  Google Scholar 

  10. Kusuoka, S: Degree theorem in certain Wiener Riemannian manifolds. In: Stochastic Analysis; Proceedings, Paris 1987. (Métivier, S. Watanabe, eds), p. 93–108. Lecture Notes in Maths. 1322. Springer (1988).

    Google Scholar 

  11. Kobayashi, S, Nomizu, K: Foundations of Differential Geometry. Vol. II. Interscience, J. Wiley and Sons (1969).

    Google Scholar 

  12. Li (Xue-mei): Stochastic flows on non-compact manifolds. Ph. D. Thesis. Warwick University (1992).

    Google Scholar 

  13. Price, G.C, Williams, D: Rolling with "slipping", I. Sém. de Probabilités XVII, Lect. Notes in Maths. 986, p. 194–197. Springer (1983).

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV4 7 AL, Coventry, UK

    K. D. Elworthy

  2. Laboratoire de Probabilités, Université Paris VI, 4, place Jussieu - Tour 56 - 3ème Etage, 75252, Paris Cedex 05

    M. Yor

Authors
  1. K. D. Elworthy
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  2. M. Yor
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© 1993 Springer-Verlag

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Elworthy, K.D., Yor, M. (1993). Conditional expectations for derivatives of certain stochastic flows. In: Séminaire de Probabilités XXVII. Lecture Notes in Mathematics, vol 1557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087972

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  • DOI: https://doi.org/10.1007/BFb0087972

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57282-4

  • Online ISBN: 978-3-540-48034-1

  • eBook Packages: Springer Book Archive

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