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q-bio.PE2025
Evolving genealogies in cultural evolution, the descendant process, and the number of cultural traits
Joe Yuichiro Wakano, Hisashi Ohtsuki, Yutaka Kobayashi +1
We consider a Moran-type model of cultural evolution, which describes how traits emerge, are transmitted, and get lost in populations. Our analysis focuses on the underlying cultur…
math.PR2025
Critical multitype branching: a functional limit theorem and ancestral processes
Ellen Baake, Fernando Cordero, Sophia-Marie Mellis +1
We consider the long-term behaviour of critical multitype branching processes conditioned on non-extinction, both with respect to the forward and the ancestral processes. Forward i…