Arno Siri-Jégousse

activity

20182020

collaborators

5 papers

math.PR2020

The shape of a seed bank tree

Adrián González Casanova, Lizbeth Peñaloza, Arno Siri-Jégousse

We derive the asymptotic behavior of the total, active and inactive branch lengths of the seed bank coalescent, when the size of the initial sample grows to infinity. Those random…

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 $(S F S_{n, b})_{1 \leq b \leq n - 1}$ of the Bolthausen-Sznitman coalescent along with some precise an…

math.PR2019

The minimal observable clade size of exchangeable coalescents

Fabian Freund, Arno Siri-Jégousse

For $Λ$ - $n$ -coalescents with mutation, we analyse the size $O_{n}$ of the partition block of $i \in {1, \dots, n}$ at the time where the first mutation appears on the tree that affect…

math.PR2018

The Nested Kingman Coalescent: Speed of Coming Down from Infinity

Airam Blancas Benítez, Tim Rogers, Jason Schweinsberg +1

The nested Kingman coalescent describes the ancestral tree of a population undergoing neutral evolution at the level of individuals and at the level of species, simultaneously. We…

math.PR2018

Trees within trees: Simple nested coalescents

Airam Blancas, Jean-Jil Duchamps, Amaury Lambert +1

We consider the compact space of pairs of nested partitions of $N$ , where by analogy with models used in molecular evolution, we call "gene partition" the finer partition a…