15 citations · 15 across the 7 of their papers we have counts for
7 papers
-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…
Kernel-Smoothed Scores for Denoising Diffusion: A Bias-Variance Study
Franck Gabriel, François Ged, Maria Han Veiga +1
Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the fi…
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…
Selection of the fittest or selection of the luckiest: the emergence of Goodhart's law in evolution
Bastien Mallein, Francesco Paparella, Emmanuel Schertzer +1
Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection…
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…
The stochastic dynamics of early epidemics: probability of establishment, initial growth rate, and infection cluster size at first detection
Peter Czuppon, Emmanuel Schertzer, François Blanquart +1
Emerging epidemics and local infection clusters are initially prone to stochastic effects that can substantially impact the epidemic trajectory. While numerous studies are devoted…
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…