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A class of self-similar superprocesses as a model for adaptive introgression
The main object of this presentation is a branching process where each individual carries an interval that gets fragmented as time goes. It arises as the branching approximation of a Wright-Fisher model that incorporates both selection and recombination. Quite unexpectedly, this process has a rich asymptotic behaviour with two phase transitions and I will describe several of its long-term properties (survival probability, distribution of block lengths, genealogies). This behaviour is a consequence of some self-similarity of the model, and our results extend to a broad class of superprocesses sharing the same self-similarity.
I will mostly focus on the probabilistic aspects, which are work in progress with Alison Etheridge.
Date:
20 January 2025, 14:00
Venue:
Mathematical Institute, Woodstock Road OX2 6GG
Venue Details:
L4
Speaker:
Félix Foutel-Rodier (University of Oxford)
Organising department:
Department of Statistics
Organiser:
Julien Berestycki (University of Oxford)
Part of:
Probability seminar
Booking required?:
Not required
Audience:
Members of the University only
Editor:
Julien Berestycki
