9 papers · 1 filter
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…
-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…
Point process convergence of extremes in -symmetric exclusion
Michael Conroy, Adrián González Casanova, Sunder Sethuraman
We consider the behavior of extremal particles in -symmetric exclusion on when the process starts from certain infinite-particle step configurations where there are…
From clonal interference to Poissonian interacting trajectories
Felix Hermann, Adrián Gonzalez Casanova, Renato Soares dos Santos +2
We consider a population whose size is fixed over the generations, and in which random beneficial mutations arrive at a rate of order per generation. In this so-call…