2 citations · 3 across the 4 of their papers we have counts for
6 papers
Speed of coming down from infinity for birth and death processes
Vincent Bansaye, Sylvie Méléard, Mathieu Richard
We finely describe the speed of "coming down from infinity" for birth and death processes which eventually become extinct. Under general assumptions on the birth and death rates, w…
How do birth and death processes come down from infinity?
Vincent Bansaye, Sylvie Méléard, Mathieu Richard
We finely describe the "coming down from infinity" for birth and death processes which eventually become extinct. Our biological motivation is to study the decrease of regulated po…
Splitting trees with neutral mutations at birth
Mathieu Richard
We consider a population model where individuals behave independently from each other and whose genealogy is described by a chronological tree called splitting tree. The individual…
Birth and death processes with neutral mutations
Nicolas Champagnat, Amaury Lambert, Mathieu Richard
In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutation…
Lévy processes conditioned on having a large height process
Mathieu Richard
In the present work, we consider spectrally positive Lévy processes not drifting to and we are interested in conditioning these processes to reach arbitrar…
Limit theorems for supercritical age-dependent branching processes with neutral immigration
Mathieu Richard
We consider a branching process with Poissonian immigration where individuals have inheritable types. At rate theta, new individuals singly enter the total population and start a n…