15 citations · 15 across the 7 of their papers we have counts for
4 papers · 1 filter
-Branching Random Walk with Noisy Selection: Large Population Limits and Phase Transitions
Colin Desmarais, Emmanuel Schertzer, Zsófia Talyigás
We analyze a variant of the Noisy -Branching Random Walk, a population model that evolves according to the following procedure. At each time step, each individual produces a lar…
The Brownian marble
Samuel G. G. Johnston, Andreas Kyprianou, Tim Rogers +1
Let be a measurable function. Consider coalescing Brownian motions started from every point in the subset of $[0,\inf…
Stochastic neutral fractions and the effective population size
Raphaël Forien, Emmanuel Schertzer, Zsófia Talyigás +1
The dynamics of a general structured population is modelled using a general stochastic differential equation (SDE) with an infinite decomposability property. This property allows t…
Perturbations of the Voter Model in One-Dimension
C. M. Newman, K. Ravishankar, E. Schertzer
We study the scaling limit of a large class of voter model perturbations in one dimension, including stochastic Potts models, to a universal limiting object, the continuum voter mo…