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math.PR2025
The tournament ratchet's clicktime process, and metastability in a Moran model
Jan Lukas Igelbrink, Charline Smadi, Anton Wakolbinger
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~ is constant over the generations. Slightly deleterious mutations are acquired along…
math.PR2025
Spinal study of a population model for colonial species with interactions and environmental noise
Sylvain Billiard, Charles Medous, Charline Smadi
We introduce and study a stochastic model for the dynamics of colonial species, which reproduce through fission or fragmentation. The fission rate depends on the relative sizes of…