3 papers
math.PR2023
Linking Population-Size-Dependent and Controlled Branching Processes
Peter Braunsteins, Sophie Hautphenne, James Kerlidis
Population-size dependent branching processes (PSDBP) and controlled branching processes (CBP) are two classes of branching processes widely used to model biological populations th…
math.PR2021
A fluid approach to total-progeny-dependent birth-and-death processes
Sophie Hautphenne, Minyuan Li
We introduce a class of branching processes in which the reproduction or lifetime distribution at a given time depends on the total cumulative number of individuals who have been b…
math.PR2014
Lyapunov exponents for branching processes in a random environment: The effect of information
Sophie Hautphenne, Guy Latouche
We consider multitype Markovian branching processes evolving in a Markovian random environment. To determine whether or not the branching process becomes extinct almost surely is a…