14 citations · 21 across the 4 of their papers we have counts for
8 papers
Moment duality and propagation of exchangeability
Adrián González Casanova, Ariel Offenstadt, Arno Siri-Jégousse
We identify necessary and sufficient conditions for a class of random mappings to send exchangeable -sequences to other exchangeable -sequences. We call this prop…
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…
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…
The minimal observable clade size of exchangeable coalescents
Fabian Freund, Arno Siri-Jégousse
For --coalescents with mutation, we analyse the size of the partition block of at the time where the first mutation appears on the tree that affect…
The Symmetric Coalescent and Wright-Fisher models with bottlenecks
Adrián González Casanova, Verónica Miró Pina, Arno Siri-Jégousse
We define a new class of -coalescents characterized by a possibly infinite measure over the non negative integers. We call them symmetric coalescents since they are the unique f…
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…
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 , where by analogy with models used in molecular evolution, we call "gene partition" the finer partition a…
Refracted Continuous-State Branching Processes: Self-regulating populations
Antonio Murillo-Salas, José Luis Pérez, Arno Siri-Jégousse
We construct a modified continuous-state branching process whose Malthusian parameter is replaced by another when passing below a certain level. The construction is obtained via a…