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Brownian excursions from extremes

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Séminaire de Probabilités XXII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1321))

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References

  1. Bass, R.F., Markov Processes and Convex Minorants, Sem. Prob. XVIII, Lecture Notes in Math. No. 1059, 24–41.

    Google Scholar 

  2. Getoor, R.K., Splitting Times and Shift Functionals, Z. fur Wahr. verw. Gebiete, 47(1979), 69–81.

    Article  MathSciNet  MATH  Google Scholar 

  3. Getoor, R.K., Excursions of Markov Processes, Ann. Prob. 7(1979), 244–266.

    Article  MathSciNet  MATH  Google Scholar 

  4. Groeneboom, P., The Concave Majorant of Brownian Motion, Ann. Prob. 6(1983), 1016–1027.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hsu, P., On Excursions of Reflecting Brownian Motion, Trans. Amer. Math. Soc., vol.296, No.1(1986), p.239–263.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ikeda, N. and Watanabe, S., Stochastic Differential Equations and Diffusion Processes, North Holland and Kodansha, Amsterdam, Oxford, New York, 1981.

    MATH  Google Scholar 

  7. Imhof, J-P., On the Range of Brownian Motion and its Inverse Process, Ann. Prob. 13(1985), 1011–1017.

    Article  MathSciNet  MATH  Google Scholar 

  8. Jacobs, P.A., Excursions of a Markov Process Induced by Continuous Additive Functionals, Z. fur Wahr. verw. Gebiete, 44 (1978), 325–336.

    Article  MathSciNet  MATH  Google Scholar 

  9. Pitman, J.W., Remarks on the Convex Minorant of Brownian Motion, Seminar on Stochastic Processes, Birkhäuser, 1982.

    Google Scholar 

  10. Port, S.C. and Stone, C.J., Brownian Motion and Classical Potential Theory, Academic Press, New York, 1978.

    MATH  Google Scholar 

  11. Tanaka, H., Stochastic Differential Equations with Reflecting Boundary Conditions in Convex Domains, Hiroshima Math. J. 9(1979), 163–179.

    MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York

    Pei Hsu

  2. McGill University, Montréal

    P. March

Authors
  1. Pei Hsu
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  2. P. March
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Jacques Azéma Marc Yor Paul André Meyer

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© 1988 Springer-Verlag

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Hsu, P., March, P. (1988). Brownian excursions from extremes. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXII. Lecture Notes in Mathematics, vol 1321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084155

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  • DOI: https://doi.org/10.1007/BFb0084155

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19351-7

  • Online ISBN: 978-3-540-39228-6

  • eBook Packages: Springer Book Archive

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