Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation

Luis G. Gorostiza; Sylvie Roelly-Coppoletta; Anton Wakolbinger

Séminaire de probabilités de Strasbourg (1990)

  • Volume: 24, page 275-281

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Gorostiza, Luis G., Roelly-Coppoletta, Sylvie, and Wakolbinger, Anton. "Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation." Séminaire de probabilités de Strasbourg 24 (1990): 275-281. <http://eudml.org/doc/113722>.

@article{Gorostiza1990,
author = {Gorostiza, Luis G., Roelly-Coppoletta, Sylvie, Wakolbinger, Anton},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Dawson-Watanabe process; branching particle system; critical branching law; domain of attraction of a stable law; asymptotic behaviour of solutions of nonlinear heat equations},
language = {fre},
pages = {275-281},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation},
url = {http://eudml.org/doc/113722},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Gorostiza, Luis G.
AU - Roelly-Coppoletta, Sylvie
AU - Wakolbinger, Anton
TI - Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation
JO - Séminaire de probabilités de Strasbourg
PY - 1990
PB - Springer - Lecture Notes in Mathematics
VL - 24
SP - 275
EP - 281
LA - fre
KW - Dawson-Watanabe process; branching particle system; critical branching law; domain of attraction of a stable law; asymptotic behaviour of solutions of nonlinear heat equations
UR - http://eudml.org/doc/113722
ER -

References

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  1. [Da] D. Dawson, The critical measure diffusion process, Z. Wahrscheinlichkeitstheorie verw. Gebiete40, 125-145, 1977. Zbl0343.60001MR478374
  2. [DFFP] D. Dawson, K. Fleischmann, R. Foley et L. Peletier, A critical measure-valued branching process with infinite mean. Stoch. Anal. Appl. 4, n° 2, 117-129, 1986. Zbl0588.60087MR829649
  3. [DI] D. Dawson et G. Ivanoff, Branching diffusions and random measures. Dans: Branching Processes, ed. A. Joffe, P. Ney, Advances in Probab. 5, pp. 61-103, Marcel Dekker, New York, 1978. Zbl0407.60087MR517531
  4. [Dy] E.B. Dynkin, Three classes of infinite dimensional diffusions. J. Funct. Analysis86, 75-110, 1989. Zbl0683.60040MR1013934
  5. [EK] M. Escobedo et O. Kavian, Asymptotic behavior of positive solutions of a nonlinear heat equation, Houston J. Math. 13, n° 4, 39-50, 1987. Zbl0666.35046MR959221
  6. [GV] A. Gmira et L. Veron, Large time behaviour of the solution of a semilinear parabolic équation in RN. J. Diff. Equations53, 259-276, 1984. Zbl0529.35041MR748242
  7. [GW] L.G. Gorostiza et A. Wakolbinger, Persistence criteria for a class of critical branching particle systems in continuous time. Reporte intemo Nr. 22 del CIEA, Mexico DF 1988, à paraître dans Ann. Probability. Zbl0732.60093MR1085336
  8. [I] I. Iscoe, On the supports of measure-valued critical branching Brownian motion, Ann. Probability16, n° 1, 200-221, 1988. Zbl0635.60094MR920265
  9. [K] O. Kallenberg, Random Measures, 3me ed., Akademie Verlag, Berlin, et Academic Press, New York, 1983. Zbl0544.60053MR818219
  10. [LMW] A. Liemant, K. Matthes et A. Wakolbinger, Equilibrium Distributions of Branching Processes, Akademie Verlag, Berlin, et Kluwer Academic Publishers, Dordrecht, 1988. Zbl0723.60105
  11. [MRC] S. Méléard et S. Roelly-Coppoletta, Discontinuous measure-valued branching processes and generalized stochastic equations, Prépublication n° 9 du Laboratoire de Probabilités de l'Université Paris 6, 1989, à pataître dans Math. Nachr. Zbl0754.60090MR1138376
  12. [W] A. Wakolbinger, Interchange of large time and scaling limits in stable Dawson-Watanabe processes: a probabilistic proof, Bericht Nr. 390 des Instituts für Mathematik der Universität Linz, 1989, à paraître dans Bol. Soc. Mat. Mexicana. Zbl0734.60083MR1109999

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