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math.PR2025
-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…
math.PR2025
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…
math.PR2021
Genealogy and spatial distribution of the -particle branching random walk with polynomial tails
Sarah Penington, Matthew I. Roberts, Zsófia Talyigás
The -particle branching random walk is a discrete time branching particle system with selection. We have particles located on the real line at all times. At every time step…