General selection models: Bernstein duality and minimal ancestral structures

F Cordero, S Hummel, E Schertzer - The Annals of Applied …, 2022 - projecteuclid.org
Λ-Wright–Fisher processes provide a robust framework to describe the type-frequency
evolution of an infinite neutral population. We add a polynomial drift to the corresponding …

Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment

F Cordero, G Véchambre - Advances in Applied Probability, 2023 - cambridge.org
Consider a two-type Moran population of size N with selection and mutation, where the
selective advantage of the fit individuals is amplified at extreme environmental conditions …

Ornstein-Uhlenbeck fluctuations for the line counting process of the ancestral selection graph

F Boenkost, AL Weinel - arXiv preprint arXiv:2409.10360, 2024 - arxiv.org
For the Moran model with strong or moderately strong selection we prove that the
fluctuations around the deterministic limit of the line counting process of the ancestral …

Killing versus catastrophes in birth-death processes and an application to population genetics

E Baake, F Cordero, E DiGaspero - arXiv preprint arXiv:2407.08478, 2024 - arxiv.org
We establish connections between the absorption probabilities of a class of birth-death
processes with killing, and the stationary tail distributions of a related class of birth-death …

Haldane's asymptotics for slightly supercritical processes

F Boenkost - 2021 - publikationen.ub.uni-frankfurt.de
Analysing survival or fixation probabilities for a beneficial allele is a prominent task in the
field of theoretical population genetics. Haldane's asymptotics is an approximation for the …