35 citations · 39 across the 4 of their papers we have counts for
4 papers · 1 filter
Large deviations for Branching Processes in Random Environment
Vincent Bansaye, Julien Berestycki
A branching process in random environment is a generalization of Galton Watson processes where at each generation the reproduction law is picked randomly. In this…
Cell contamination and branching process in random environment with immigration
Vincent Bansaye
We consider a branching model for a population of dividing cells infected by parasites. Each cell receives parasites by inheritance from its mother cell and independent contaminati…
Surviving particles for subcritical branching processes in random environment
Vincent Bansaye
The asymptotic behavior of a subcritical Branching Process in Random Environment (BPRE) starting with several particles depends on whether the BPRE is strongly subcritical (SS), in…
On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics
Vincent Bansaye
We consider a generalized version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with th…