Colin Desmarais

collaborators

2 papers

math.PR2026

Moments of PÃ³lya urns balanced in expectation

Colin Desmarais

In this work, recent results on the moments of balanced PÃ³lya urns are generalized to unbalanced urns, with the condition that the expected change in total activity at each step i…

math.PR2025

$K$ -Branching Random Walk with Noisy Selection: Large Population Limits and Phase Transitions

Colin Desmarais, Emmanuel Schertzer, ZsÃ³fia TalyigÃ¡s

We analyze a variant of the Noisy $K$ -Branching Random Walk, a population model that evolves according to the following procedure. At each time step, each individual produces a lar…

Moments of PÃ³lya urns balanced in expectation

K-Branching Random Walk with Noisy Selection: Large Population Limits and Phase Transitions

$K$ -Branching Random Walk with Noisy Selection: Large Population Limits and Phase Transitions