The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model
and the M-allele Moran model of population genetics is explored via timescale separation …

Controlling an evolving population is an important task in modern molecular genetics,
including directed evolution for improving the activity of molecules and enzymes, in breeding …

We propose a general approach to study spin models with two symmetric absorbing states.
Starting from the microscopic dynamics on a square lattice, we derive a Langevin equation …

We review the task of aligning simple models for language dynamics with relevant empirical
data, motivated by the fact that this is rarely attempted in practice despite an abundance of …

Background Genes exist in a population in a variety of forms (alleles), as a consequence of
multiple mutation events that have arisen over the course of time. In this work we consider a …