13 citations · 48 across the 28 of their papers we have counts for
6 papers · 2 filters
Perturbations of supercritical oriented percolation and sticky Brownian webs
Emmanuel Schertzer, Rongfeng Sun
Previously, Sarkar and Sun have shown that for supercritical oriented percolation in dimension , the set of rightmost infinite open paths converges to the Brownian web after p…
Coagulation-transport equations and the nested coalescents
Amaury Lambert, Emmanuel Schertzer
The nested Kingman coalescent describes the dynamics of particles (called genes) contained in larger components (called species), where pairs of species coalesce at constant rate a…
Height and contour processes of Crump-Mode-Jagers forests (II): The Bellman-Harris universality class
E. Schertzer, F. Simatos
Crump-Mode-Jagers (CMJ) trees generalize Galton-Watson trees by allowing individuals to live for an arbitrary duration and give birth at arbitrary times during their life-time. In…
Chromosome Painting: how recombination mixes ancestral colors
Amaury Lambert, Verónica Miró Pina, Emmanuel Schertzer
We consider a Moran model with recombination in a haploid population of size . At each birth event, with probability the offspring copies one parent's chromosome, and…
Exchangeable coalescents, ultrametric spaces, nested interval-partitions: A unifying approach
Félix Foutel-Rodier, Amaury Lambert, Emmanuel Schertzer
Kingman (1978)'s representation theorem states that any exchangeable partition of can be represented as a paintbox based on a random mass-partition. Similarly, any exc…
The sequential loss of allelic diversity
Guillaume Achaz, Amaury Lambert, Emmanuel Schertzer
This paper gives a new flavor of what Peter Jagers and his co-authors call `the path to extinction'. In a neutral population with constant size , we assume that each individual…