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math.PR2025
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…
math.PR2025
Renewal contact process with dormancy
Noemi Kurt, Michel Reitmeier, András Tóbiás
We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain c…
math.PR2024
Multitype -coalescents and continuous state branching processes
Adrián González Casanova, Noemi Kurt, Imanol Nuñez Morales +1
We provide new connections between multitype -coalescents and multitype continuous state branching processes via duality and a homeomorphism on their parameter space. The appro…