We consider the task of filtering a dynamic parameter evolving as a diffusion process, given
data collected at discrete times from a likelihood which is conjugate to the reversible law of …

Abstract The two-parameter Poisson–Dirichlet diffusion takes values in the infinite ordered
simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two …

Stochastic duality is a powerful tool that links two Markov processes using a common
observable, the duality function. This tool is useful if one of the processes is easier to study …

We study a mutation–selection model with a fluctuating environment. More precisely,
individuals in a large population are assumed to have a modifier locus determining the …

Research is often a joint effort of several people. Duality theory of Markov processes, being
a mathematical topic which is at the interface of diverse research areas, perfectly fits this …