| Issue |
ESAIM: PS
Volume 21, 2017
|
|
|---|---|---|
| Page(s) | 1 - 33 | |
| DOI | https://doi.org/10.1051/ps/2016027 | |
| Published online | 27 February 2017 | |
Non-binary branching process and non-Markovian exploration process
1 Aix-Marseille Univ., CNRS, Centrale Marseille, I2M, Marseille, France.
ibrahima.drame@univ-amu.fr; etienne.pardoux@univ-amu.fr
2 LERSTAD, Université Gaston Berger, BP 234, Saint Louis, Sénégal.
ahmadou-bamba.sow@ugb.edu.sn
Received: 2 December 2015
Revised: 6 October 2016
Accepted: 2 November 2016
We study both a continuous time non-binary Galton−Watson random tree and its exploration (or height) process in the subcritical, critical and supercritical cases. We then renormalize our branching process and exploration process, and take the weak limit as the size of the population tends to infinity.
Mathematics Subject Classification: 60J80 / 60J85 / 92D25
Key words: Branching process / exploration process / local time / weak limit
© EDP Sciences, SMAI, 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.