On the survival probability of a branching process in a random environment

Quansheng Liu

Annales de l'I.H.P. Probabilités et statistiques (1996)

  • Volume: 32, Issue: 1, page 1-10
  • ISSN: 0246-0203

How to cite

top

Liu, Quansheng. "On the survival probability of a branching process in a random environment." Annales de l'I.H.P. Probabilités et statistiques 32.1 (1996): 1-10. <http://eudml.org/doc/77530>.

@article{Liu1996,
author = {Liu, Quansheng},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {branching process; random environment},
language = {eng},
number = {1},
pages = {1-10},
publisher = {Gauthier-Villars},
title = {On the survival probability of a branching process in a random environment},
url = {http://eudml.org/doc/77530},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Liu, Quansheng
TI - On the survival probability of a branching process in a random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1996
PB - Gauthier-Villars
VL - 32
IS - 1
SP - 1
EP - 10
LA - eng
KW - branching process; random environment
UR - http://eudml.org/doc/77530
ER -

References

top
  1. [1] A. Agresti, On the extinction times of varing and random environment branching processes, J. Appl. Prob., Vol. 12, 1975, pp. 39-46. Zbl0306.60052MR365733
  2. [2] K.B. Athreya and S. Karlin, Branching processes with random environments, I & II, Ann. Math. Statist., Vol. 42, 1971, pp. 1499-1520 and 1843-1858. Zbl0228.60032
  3. [3] F.M. Dekking, Subcritical branching processes in a two state random environment, and a percolation problem on trees, J. Appl. Prob., Vol. 24, 1987, pp. 798-808. Zbl0635.60110MR913822
  4. [4] F.M. Dekking, On the survival probability of a branching process in a finite state i.i.d. ernvironment, Stoch. Proc. and Their Appl., Vol. 27, 1988, pp. 151-157. Zbl0634.60072MR934535
  5. [5] F.M. Dekking and G.R. Grimmett, Superbranching processes and projections of Cantor sets, Prob. Th. & Rel. Fields, Vol. 78, 1988, pp. 335-355. Zbl0628.60091
  6. [6] R. Lyons and R. Pemantle, Random walk in a random environment and first-passage percolation on trees, Ann. of Prob., Vol. 20, 1992, pp. 125-136. Zbl0751.60066MR1143414
  7. [7] W.L. Smith and W.E. Wilkinson, On branching processes in random environments, Ann. Math. Statist., Vol. 40, 1969, pp. 814-827. Zbl0184.21103MR246380

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.