3 papers
math.PR2024
The Lamperti transformation in the infinite-dimensional setting, self-similar populations, and coalescents
Arno Siri-Jégousse, Alejandro Hernández Wences
We propose a change in focus from the prevalent paradigm based on the branching property as a tool to analyze the structure of population models, to one based on the self-similarit…
math.PR2022
Exchangeable coalescents beyond the Cannings class
Arno Siri-Jégousse, Alejandro H. Wences
We propose a general framework for the study of the genealogy of neutral discrete-time populations. We remove the standard assumption of exchangeability of offspring distributions…
math.PR2019
Site Frequency Spectrum of the Bolthausen-Sznitman Coalescent
Götz Kersting, Arno Siri-Jégousse, Alejandro H. Wences
We derive explicit formulas for the two first moments of he site frequency spectrum of the Bolthausen-Sznitman coalescent along with some precise an…