The space of metric measure spaces (complete separable metric spaces with a probability
measure) is becoming more and more important as state space for stochastic processes. Of …

We consider stochastic processes on complete, locally compact tree-like metric spaces (T,r)
on their “natural scale” with boundedly finite speed measure ν. Given a triple (T,r,ν) such a …

A marked metric measure space (mmm-space) is a triple (X,r,μ), where (X,r) is a complete
and separable metric space and μ is a probability measure on X*I for some Polish space I of …

Abstract The measure-valued Fleming–Viot process is a diffusion which models the
evolution of allele frequencies in a multi-type population. In the neutral setting the Kingman …

The monograph constructs a rigorous framework to analyse some phenomena in
evolutionary theory of populations arising due to the combined effects of migration, selection …

Abstract In (Combin. Probab. Comput. 9 (2000) 191–204), Aldous investigates a symmetric
Markov chain on cladograms and gives bounds on its mixing and relaxation times. The latter …

A class of measure-valued processes which model multilevel multitype populations
undergoing mutation, selection, genetic drift and spatial migration is considered. We …

We study the evolution of genealogies of a population of individuals, whose type
frequencies result in an interacting Fleming-Viot process on Z. We construct and analyze the …

Using graphical methods based on a 'lookdown'and pruned version of the ancestral
selection graph, we obtain a representation of the type distribution of the ancestor in a two …

The ancestral selection graph (ASG) was introduced by Neuhauser and Krone (1997) in
order to study populations of constant size which evolve under selection. Coalescence …