Martin boundaries of some branching processes

Ludger Overbeck

Annales de l'I.H.P. Probabilités et statistiques (1994)

  • Volume: 30, Issue: 2, page 181-195
  • ISSN: 0246-0203

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Overbeck, Ludger. "Martin boundaries of some branching processes." Annales de l'I.H.P. Probabilités et statistiques 30.2 (1994): 181-195. <http://eudml.org/doc/77478>.

@article{Overbeck1994,
author = {Overbeck, Ludger},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {space-time harmonic functions; Martin boundary; branching processes},
language = {eng},
number = {2},
pages = {181-195},
publisher = {Gauthier-Villars},
title = {Martin boundaries of some branching processes},
url = {http://eudml.org/doc/77478},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Overbeck, Ludger
TI - Martin boundaries of some branching processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1994
PB - Gauthier-Villars
VL - 30
IS - 2
SP - 181
EP - 195
LA - eng
KW - space-time harmonic functions; Martin boundary; branching processes
UR - http://eudml.org/doc/77478
ER -

References

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  4. [Du1] S. Dubuc, Positive HarmonicFunctions of a Branching Process, Proc. Amer. Math. Soc., Vol. 21, 1969, pp. 324-326. Zbl0176.47601MR251800
  5. [Du2] S. Dubuc, La fonction de green d'un processus de Galton-Watson, Studia Math., Vol. 34, 1970, pp. 69-87. Zbl0196.18802MR260042
  6. [Dy1] E.B. Dynkin, Sufficient Statistics and Extreme Points, Ann. Prob., Vol. 6, 1978, pp. 705-730. Zbl0403.62009MR518321
  7. [Dy2] E.B. Dynkin, Regular TransitionFunctions and Regular Superprocesses, Trans. Amer. Math. Soc., Vol. 316, 1989, pp. 623-634. Zbl0695.60072MR951884
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  11. [Ja] J. Jacod, Calcul stochastique et problèmes de Martingales, Lecture Notes in Math., Vol. 714, Springer-Verlag, Berlin, 1979. Zbl0414.60053MR542115
  12. [KW] K. Kawazu and S. Watanabe, Branching Processes with Immigration and Related Limit Theorems, Th. Prob. Appl., Vol. 16, 1971, pp. 36-54. Zbl0242.60034MR290475
  13. [Lo] J. Lootgieter, La σ-algèbre asymptotique d'une chaîne de Galton-Watson, Ann. Inst. Henri Poincaré, Vol. XIII, n° 3, section B, 1977, pp. 193-230. Zbl0382.60091
  14. [Ov1] L. Overbeck, Konditionierungen der Super-Brownschen Bewegung und verzweigender Diffusionen, Dissertation at the University of Bonn, 1991. Zbl0831.60088MR1237190
  15. [Ov2] L. Overbeck, Conditioned Super-Brownian Motion, Probab. Theory Relat. Fields, Vol. 96, 1993, pp. 545-570. Zbl0792.60037MR1234623
  16. [PY] J. Pitman and M. Yor, A Decomposition of Bessel Bridges, Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 59, 1982, pp. 425-457. Zbl0484.60062MR656509
  17. [RR] S. Roelly-Coppoletta and A. Rouault, Processus de Dawson-Watanabe conditionné par le futur lointain, C. R. Acad. Sci. Paris, Vol. 309, série I, 1989, pp. 867-872. Zbl0684.60062MR1055211
  18. [RY] D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, Springer-Verlag, Berlin, 1991. Zbl0731.60002MR1083357
  19. [Sa] P. Salminen, Martin Boundaries for Some Space-Time Markov Processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 55, 1981, pp. 41-53. Zbl0457.60049MR606005
  20. [Se] B.A. Sevastjanov, Verzweigungsprozesse, R. Oldenbourg, München, Wien, 1975. Zbl0344.60049MR408019

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