@article{AIHPB_1994__30_2_181_0, author = {Overbeck, Ludger}, title = {Martin boundaries of some branching processes}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {181--195}, publisher = {Gauthier-Villars}, volume = {30}, number = {2}, year = {1994}, mrnumber = {1276996}, zbl = {0807.60079}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1994__30_2_181_0/} }
TY - JOUR AU - Overbeck, Ludger TI - Martin boundaries of some branching processes JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1994 SP - 181 EP - 195 VL - 30 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1994__30_2_181_0/ LA - en ID - AIHPB_1994__30_2_181_0 ER -
Overbeck, Ludger. Martin boundaries of some branching processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 2, pp. 181-195. http://archive.numdam.org/item/AIHPB_1994__30_2_181_0/
[AN] Branching Processes, Springer-Verlag, Berlin, 1972. | MR | Zbl
, and ,[CRW] Growing Conditioned Trees, Stoch. Proc. Appl., Vol. 39, 1991, pp. 117-130. | MR | Zbl
, and ,[Co] Harmonic Functions for a Class of Markov Chains, J. Austral. Math. Soc., Series A, Vol. 28, 1979, pp. 413-422. | MR | Zbl
,[Du1] Functions of a Branching Process, Proc. Amer. Math. Soc., Vol. 21, 1969, pp. 324-326. | MR | Zbl
,[Du2] La fonction de green d'un processus de Galton-Watson, Studia Math., Vol. 34, 1970, pp. 69-87. | MR | Zbl
,[Dy1] Sufficient Statistics and Extreme Points, Ann. Prob., Vol. 6, 1978, pp. 705-730. | MR | Zbl
,[Dy2] Functions and Regular Superprocesses, Trans. Amer. Math. Soc., Vol. 316, 1989, pp. 623-634. | MR | Zbl
,[F] Diffusion Processes in Genetics, Proc. 2nd Berkely Symp., Univ. of Calif. Press, 1951, pp. 227-246. | MR | Zbl
,[EK] Characterization and Convergence, Wiley, New York, 1986. | MR | Zbl
and , ,[EP] Measure-Valued Markov Branching Processes Conditioned on Non-Extinction, Preprint, 1990. | MR | Zbl
and ,[Ja] Calcul stochastique et problèmes de Martingales, Lecture Notes in Math., Vol. 714, Springer-Verlag, Berlin, 1979. | MR | Zbl
,[KW] Branching Processes with Immigration and Related Limit Theorems, Th. Prob. Appl., Vol. 16, 1971, pp. 36-54. | MR | Zbl
and ,[Lo] La σ-algèbre asymptotique d'une chaîne de Galton-Watson, Ann. Inst. Henri Poincaré, Vol. XIII, n° 3, section B, 1977, pp. 193-230. | Numdam | Zbl
,[Ov1] Konditionierungen der Super-Brownschen Bewegung und verzweigender Diffusionen, Dissertation at the University of Bonn, 1991. | MR | Zbl
,[Ov2] Conditioned Super-Brownian Motion, Probab. Theory Relat. Fields, Vol. 96, 1993, pp. 545-570. | MR | Zbl
,[PY] A Decomposition of Bessel Bridges, Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 59, 1982, pp. 425-457. | MR | Zbl
and ,[RR] Processus de Dawson-Watanabe conditionné par le futur lointain, C. R. Acad. Sci. Paris, Vol. 309, série I, 1989, pp. 867-872. | MR | Zbl
and ,[RY] Continuous Martingales and Brownian Motion, Springer-Verlag, Berlin, 1991. | MR | Zbl
and ,[Sa] Martin Boundaries for Some Space-Time Markov Processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 55, 1981, pp. 41-53. | MR | Zbl
,[Se] Verzweigungsprozesse, R. Oldenbourg, München, Wien, 1975. | MR | Zbl
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