On the Survival Probability of a Branching Process in a Random Environment

Quansheng Liu

Publications mathématiques et informatique de Rennes (1993)

  • Volume: 32, Issue: 2, page 1-9

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Liu, Quansheng. "On the Survival Probability of a Branching Process in a Random Environment." Publications mathématiques et informatique de Rennes 32.2 (1993): 1-9. <http://eudml.org/doc/274009>.

@article{Liu1993,
author = {Liu, Quansheng},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {branching process; random environment},
language = {eng},
number = {2},
pages = {1-9},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {On the Survival Probability of a Branching Process in a Random Environment},
url = {http://eudml.org/doc/274009},
volume = {32},
year = {1993},
}

TY - JOUR
AU - Liu, Quansheng
TI - On the Survival Probability of a Branching Process in a Random Environment
JO - Publications mathématiques et informatique de Rennes
PY - 1993
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 32
IS - 2
SP - 1
EP - 9
LA - eng
KW - branching process; random environment
UR - http://eudml.org/doc/274009
ER -

References

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  1. [1] A. Agresti, On the extinction times of varing and random environment branching processes, J. Appl. Prob.12 (1975) 39-46. Zbl0306.60052MR365733
  2. [2] K.B. Athreya and S. Karlin, Branching processes with random environments I & II, Ann. Math. Statist.42 (1971) 1499-1520 and 1843-1858. Zbl0228.60033
  3. [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. Zbl0635.60110MR913822
  4. [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. Zbl0634.60072MR934535
  5. [5] F.M. Dekking and G.R. Grimmett, Superbranching processes and projections of Cantor sets. Proba. Th. & Rel. Fields, 78 (1988) 335-355. Zbl0628.60091MR949177
  6. [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. Zbl0751.60066MR1143414
  7. [7] W.L. Smith and W.E. Wilkinson, On branching processes in random environments, Ann. Math. Statist.40 (1969) 814-827. Zbl0184.21103MR246380

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