4 papers · 1 filter
On Bernoulli trials with unequal harmonic success probabilities
Thierry Huillet, Martin Möhle
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the number of successes over some t…
Asymptotic genealogies for a class of generalized Wright-Fisher models
Thierry Huillet, Martin Möhle
We study a class of Cannings models with population size having a mixed multinomial offspring distribution with random success probabilities induced by indepen…
Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations
Clément Foucart, Martin Möhle
Consider the population model with infinite size associated to subcritical continuous-state branching processes (CSBP). Individuals reproduce independently according to the same su…
On asymptotics of exchangeable coalescents with multiple collisions
Alexander Gnedin, Alex Iksanov, Martin Möhle
We study the number of collisions of an exchangeable coalescent with multiple collisions (-coalescent) which starts with particles and is driven by rates determined by…