10 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…
Two waves of adaptation: speciation induced by dormancy in a model with changing environment
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg
We consider a population model in which the season alternates between winter and summer, and individuals can acquire mutations either that are advantageous in the summer and disadv…
Muller's ratchet in a near-critical regime: tournament versus fitness proportional selection
Jan Lukas Igelbrink, Adrián González Casanova, Charline Smadi +1
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…
-Seed-Bank-Wright-Fisher process conditioned on fixation
MarÃa Clara Fittipaldi, Adrián González Casanova, Julio Ernesto Nava Trejo
We investigate the -Seed-Bank-Wright-Fisher process, a model describing allele frequency dynamics in populations exhibiting both skewed offspring distributions and dormancy. By…
Partially exchangeable Markov chains and characterisation of multitype Lambda-coalescents
Adrián González Casanova, Noemi Kurt, Imanol Nuñez Morales +1
In this paper, we study consistent and partially exchangeable sequences of Markov chains on a finite state space. We provide a characterisation of the admissible transition rates v…
Fixation and stationary times for the -Wright-Fisher process
Airam Blancas, Adrián González Casanova, Sebastian Hummel +1
We study the fixation and stationary behavior of the Lambda-Wright-Fisher process with parent-independent mutation and finitely many types, a jump-diffusion model for allele freque…