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math.PR2024
A periodic Kingman model for the balance between mutation and selection
Camille Coron, Olivier Hénard
We consider a periodic extension of the classical Kingman non-linear model (Kingman, 1978) for the balance between selection and mutation in a large population. In the original mod…
math.PR2024
The local limit of rooted directed animals on the square lattice
Olivier Hénard, Édouard Maurel-Segala, Arvind Singh
We consider the local limit of finite uniformly distributed directed animals on the square lattice viewed from the root. Two constructions of the resulting uniform infinite directe…