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On the decomposition of solutions of stochastic differential equations

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Stochastic Integrals

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 851))

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References

  1. J. M. Bismut; Flots stochastiques et formula de Ito-Stratonovich généralisée, C. R. Acad. Sci. Paris, t. 290 (10 mars 1980)

    Google Scholar 

  2. Ju. N. Blagoveščenskii-M. I. Freidlin; Some properties of diffusion processes depending on a parameter, DAN 138 (1961), Soviet Math. 2 (1961), 633–636

    Google Scholar 

  3. K. T. Chen; Decomposition of differential equations, Math. Annalen 146 (1962), 263–278

    Article  MATH  Google Scholar 

  4. J. M. C. Clark; The design of robust approximations to the stochastic differential equations of non linear filtering, in "Communication Systems and Random Process Theory" ed. by J. K. Skwirzynski, NATO Advanced Study Institute Series, Sijthoff and Noordhoff, Alphen aan den Rijn, 1978

    Google Scholar 

  5. M. H. A. Davis; A pathwise solution of the equations of non linear filtering, 12th European Meeting of Statisticians, Varna, 1979

    Google Scholar 

  6. H. Doss; Liens entre equations differentielles stochastiques et ordinaires, Ann. Inst. H. Poincare 13 (1979), 99–125

    MathSciNet  MATH  Google Scholar 

  7. K. D. Elworthy; Stochastic dynamical systems and their flows, Stochastic analysis ed. by A. Friedman and M. Pinsky, 79–95, Academic press, New York, 1978

    Google Scholar 

  8. N. Ikeda-S. Watanabe; Stochastic differential equations and diffusion processes, forthcoming book.

    Google Scholar 

  9. K. Itô; Brownian motions in a Lie group, Proc. Japan Acad., 8 (1950), 4–10

    Article  MathSciNet  MATH  Google Scholar 

  10. K. Itô; Stochastic differentials, Apl. Math. Optimization 1, 374–384 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  11. N. Jacobson; Lie algebras, New York-London, Wiley, 1962

    MATH  Google Scholar 

  12. S. Kobayashi-K.Nomizu; Fundations of differential geometry II, Interscience, 1969

    Google Scholar 

  13. H. Kunita; On the representation of solutions of stochastic differential equations, Seminaire des Probabilities XIV, Lecture Note in Math., 784 (1980), 282–303

    Article  MathSciNet  Google Scholar 

  14. H. Kunita; Some extensions of Ito's formula, Seminaire des Probabilities XV, Lecture Note in Math., to appear

    Google Scholar 

  15. P. Malliavin; Stochastic calculus of variation and hypoelliptic operators, Kyoto, Conference, 1976, Wiley 1978, 195–263

    Google Scholar 

  16. Y. Ogura-T. Yamada; On the strong comparison theorem of solutions of stochastic differential equations, to appear

    Google Scholar 

  17. R. S. Palais; A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc. 22 (1957)

    Google Scholar 

  18. D. W. Stroock-S. R. S. Varadhan; Multidimensional diffusion processes, 1979, Springer-Verlag, New York

    MATH  Google Scholar 

  19. Y. Yamato; Stochastic differential equations and nilpotent Lie algebra, Z. W. 47 (1979), 213–229

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Applied Science, Kyushu University, Fukuoka, Japan

    Hiroshi Kunita

Authors
  1. Hiroshi Kunita
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David Williams

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© 1981 Springer-Verlag

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Kunita, H. (1981). On the decomposition of solutions of stochastic differential equations. In: Williams, D. (eds) Stochastic Integrals. Lecture Notes in Mathematics, vol 851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088729

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  • DOI: https://doi.org/10.1007/BFb0088729

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10690-6

  • Online ISBN: 978-3-540-38613-1

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