Coalescents with multiple collisions, also known as Λ-coalescents, were introduced by
Pitman and Sagitov in 1999. These processes describe the evolution of particles that …

Consider a Λ-coalescent that comes down from infinity (meaning that it starts from a
configuration containing infinitely many blocks at time 0, yet it has a finite number N t of …

One of the central problems in mathematical genetics is the inference of evolutionary
parameters of a population (such as the mutation rate) based on the observed genetic types …

The genealogical structure of neutral populations in which reproductive success is highly-
skewed has been the subject of many recent studies. Here we derive a coalescent dual …

We consider diploid bi-parental analogues of Cannings models: in a population of fixed size
$ N $ the next generation is composed of $ V_ {i, j} $ offspring from parents $ i $ and $ j …

The d-dimensional Λ-Fleming-Viot generator acting on functions g (x), with x being a vector
of d allele frequencies, can be written as a Wright-Fisher generator acting on functions g with …

We review recent progress in the understanding of the interplay between population models,
measure-valued diffusions, general coalescent processes and inference methods for …

The class of coalescent processes with simultaneous multiple collisions (Ξ-coalescents)
without proper frequencies is considered. We study the asymptotic behavior of the external …

We consider a (sub-) critical Galton–Watson process with neutral mutations (infinite alleles
model), and decompose the entire population into clusters of individuals carrying the same …

We study the asymptotics of the extended Moran model as the total population size N tends
to infinity. Two convergence results are provided, the first result leading to discrete-time …