4 papers · 1 filter
Strong law of large numbers and L log L condition for supercritical branching processes
Vincent Bansaye, Tresnia Berah, Bertrand Cloez
We consider branching processes for structured populations: each individual is characterized by a type or trait which belongs to a general measurable state space. We focus on the s…
Growing random planar network with oriented branching and fusion
Vincent Bansaye, Gael Raoul, Milica Tomasevic
We consider a growing planar network where a tip grows at constant speed, branches at constant rate and inactivates when it meets a branch already created. We only consider here or…
Estimation of the lifetime distribution from fluctuations in Bellman-Harris processes
Jules Olayé, Hala Bouzidi, Andrey Aristov +4
The growth of a population is often modeled as branching process where each individual at the end of its life is replaced by a certain number of offspring. An example of these bran…
Sharp approximation and hitting times for stochastic invasion processes
Vincent Bansaye, Xavier Erny, Sylvie Méléard
We are interested in the invasion phase for stochastic processes with interactions when a single mutant with positive fitness arrives in a resident population at equilibrium. By a…