We provide a systematic study of the notion of duality of Markov processes with respect to a
function. We discuss the relation of this notion with duality with respect to a measure as …

In the context of Markov processes, both in discrete and continuous setting, we show a
general relation between duality functions and symmetries of the generator. If the generator …

Let $\Lambda $ be a finite measure on the unit interval. A $\Lambda $-Fleming-Viot process
is a probability measure valued Markov process which is dual to a coalescent with multiple …

A two-types, discrete-time population model with finite, constant size is constructed, allowing
for a general form of frequency-dependent selection and skewed offspring distribution …

We consider a simple diploid population-genetic model with potentially high variability of
offspring numbers among individuals. Specifically, against a backdrop of Wright–Fisher …

We apply our general method of duality, introduced in Giardinà et al.(2007), to models of
population dynamics. The classical dualities between forward and ancestral processes can …

A class of two-sex population models is considered with N females and equal number N of
males constituting each generation. Reproduction is assumed to undergo three stages: 1) …

We study self-duality for interacting particle systems, where the particles move as continuous
time random walkers having either exclusion interaction or inclusion interaction. We show …

For reaction-diffusion processes with at most bimolecular reactants, we derive well-behaved,
numerically tractable, exact Langevin equations that govern a stochastic variable related to …

In this paper, we introduce a family of processes with values on the nonnegative integers
that describes the dynamics of populations where individuals are allowed to have different …