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The branching process in a Brownian excursion

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Book cover Séminaire de Probabilités XXIII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1372))

Research of this author supported in part by NSF Grant DMS88-01808

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References

  1. Feller, W. (1968). An Introduction to Probability Theory and Its Applications, Vol I. Wiley, New York.

    MATH  Google Scholar 

  2. Greenwood, P. and Pitman, J.W. (1980): Fluctuation identities for Lévy processes and splitting at the maximum. Adv. Appl. Prob. 12, 893–902.

    Article  MathSciNet  MATH  Google Scholar 

  3. Itô, K. (1970). Poisson point processes attached to Markov processes. Proc. Sixth Berkeley Symp. Math. Statist. Prob. University of California Press, Berkeley, 225–239.

    Google Scholar 

  4. Le Gall, J.-F. (1989). Marches aléatoires, mouvement brownien et processus de branchement. Article in this volume.

    Google Scholar 

  5. Neveu, J. and Pitman, J.W. (1989). Renewal property of the extrema and tree property of the excursion of a one dimensional Brownian motion. Article in this volume.

    Google Scholar 

  6. Rogers, L.C.G. (1981): Williams' characterisation of the Brownian excursion law: proof and applications. Séminaire de Probabilités XV (Univ. Strasbourg), pp. 227–250. Lecture Notes Math. 850, Springer-Verlag, Berlin.

    Chapter  Google Scholar 

  7. Rogers, L.C.G. (1983). Itô excursion theory via resolvents. Z. Wahrscheinlichkeitstheorie verw. Gebeite 63, 237–255.

    Article  MATH  Google Scholar 

  8. Walsh, J. (1978). Downcrossings and the Markov property of local time. Temps Locaux, Astérisque 52–53, 89–115.

    Google Scholar 

  9. Williams, D. (1974). Path decomposition and continuity of local time for one-dimensional diffusions. Proc. London Math. Soc., Ser. 3, 28, 738–768.

    Article  MathSciNet  MATH  Google Scholar 

  10. Williams, D. (1979). Diffusions, Markov Processes, and Martingales. Vol. I. Wiley, New York.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Laboratoire de Probabilités, Université Pierre et Marie Curie, 4, Place Jussieu - Tour 56, 75252, Paris Cedex 05, France

    J. Neveu

  2. Department of Statistics, University of California, 94720, Berkeley, California, United States

    J. W. Pitman

Authors
  1. J. Neveu
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  2. J. W. Pitman
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Jacques Azéma Marc Yor Paul André Meyer

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© 1989 Springer-Verlag

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Neveu, J., Pitman, J.W. (1989). The branching process in a Brownian excursion. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXIII. Lecture Notes in Mathematics, vol 1372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083977

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  • DOI: https://doi.org/10.1007/BFb0083977

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51191-5

  • Online ISBN: 978-3-540-46176-0

  • eBook Packages: Springer Book Archive

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