22 citations · 55 across the 15 of their papers we have counts for
16 papers
On a -mutation model and the harmonic model
Cristian Giardinà, Martin Möhle
We introduce a continuous-time mutation model with two types determined by a finite measure on the unit interval. The model satisfies a certain consistency property known from…
On the genealogy of multi-type Cannings models and their limiting exchangeable coalescents
Maximilian Flamm, Martin Möhle
We study the multi-type Cannings population model. Each individual has a type belonging to a given at most countable type space . The population is hence divided into subp…
On multi-type Cannings models and multi-type exchangeable coalescents
Martin Möhle
A multi-type neutral Cannings population model with mutation and fixed subpopulation sizes is analyzed. Under appropriate conditions, as all subpopulation sizes tend to infinity, t…
Scaling limits for a class of regular -coalescents
Martin Möhle, Benedict Vetter
The block counting process with initial state counts the number of blocks of an exchangeable coalescent (-coalescent) restricted to a sample of size . This work provides…
Scaling limits for the block counting process and the fixation line of a class of -coalescents
Martin Möhle, Benedict Vetter
We provide scaling limits for the block counting process and the fixation line of -coalescents as the initial state tends to infinity under the assumption that the measure $…
Asymptotics of continuous-time discrete state space branching processes for large initial state
Martin Möhle, Benedict Vetter
Scaling limits for continuous-time branching processes with discrete state space are provided as the initial state tends to infinity. Depending on the finiteness or non-finiteness…