On the Survival Probability of a Branching Process in a Random Environment
Publications de l'Institut de recherche mathématiques de Rennes, no. 2 (1993), article no. 6, 9 p.
@article{PSMIR_1993___2_A6_0,
     author = {Liu, Quansheng},
     title = {On the {Survival} {Probability} of a {Branching} {Process} in a {Random} {Environment}},
     journal = {Publications de l'Institut de recherche math\'ematiques de Rennes},
     eid = {6},
     pages = {1--9},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {2},
     year = {1993},
     mrnumber = {1347699},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1993___2_A6_0/}
}
TY  - JOUR
AU  - Liu, Quansheng
TI  - On the Survival Probability of a Branching Process in a Random Environment
JO  - Publications de l'Institut de recherche mathématiques de Rennes
PY  - 1993
SP  - 1
EP  - 9
IS  - 2
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://archive.numdam.org/item/PSMIR_1993___2_A6_0/
LA  - en
ID  - PSMIR_1993___2_A6_0
ER  - 
%0 Journal Article
%A Liu, Quansheng
%T On the Survival Probability of a Branching Process in a Random Environment
%J Publications de l'Institut de recherche mathématiques de Rennes
%D 1993
%P 1-9
%N 2
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://archive.numdam.org/item/PSMIR_1993___2_A6_0/
%G en
%F PSMIR_1993___2_A6_0
Liu, Quansheng. On the Survival Probability of a Branching Process in a Random Environment. Publications de l'Institut de recherche mathématiques de Rennes, no. 2 (1993), article  no. 6, 9 p. http://archive.numdam.org/item/PSMIR_1993___2_A6_0/

[1] A. Agresti, On the extinction times of varing and random environment branching processes, J. Appl. Prob. 12 (1975) 39-46. | MR | Zbl

[2] K.B. Athreya and S. Karlin, Branching processes with random environments I & II, Ann. Math. Statist. 42 (1971) 1499-1520 and 1843-1858. | Zbl

[3] F.M. Dekking, Subcritical branching processes in a two state random environment, and a percolation problem on trees, J. Appl. Prob. 24 (1987) 798-808. | MR | Zbl

[4] F.M. Dekking, On the survival probability of a branching process in a finite state i.i.d.environment, Stoch. Proc. and Their Appl. 27 (1988) 151-157. | MR | Zbl

[5] F.M. Dekking and G.R. Grimmett, Superbranching processes and projections of Cantor sets. Proba. Th. & Rel. Fields, 78 (1988) 335-355. | MR | Zbl

[6] R. Lyons and R. Pemantle, Random walk in a random environment and first-passage percolation on trees. Ann. of Proba. 20 (1992) 125-136. | MR | Zbl

[7] W.L. Smith and W.E. Wilkinson, On branching processes in random environments, Ann. Math. Statist. 40 (1969) 814-827. | MR | Zbl