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math.PR2023
Level numbers preserving transformations on excursionsdefined by random walks with state dependent jump laws
Thierry Huillet, Servet Martinez
We study the number of individuals per level defined by excursions of random walks with state dependent jump law. These level numbersdetermine the probability of the excursion, and…
math.PR2023
Sterile versus prolific individuals pertaining to linear-fractional Bienaym{é}-Galton-Watson trees
Thierry Huillet, Servet Martinez
In a Bienaymé-Galton-Watson process for which there is a positiveprobability for individuals of having no offspring, there is a subtlebalance and dependence between the sterile nod…
math.PR2023
One step entropy variation in sequential sampling of species for the Poisson-Dirichlet Process
Servet Martínez, Javier Santibáñez
We consider the sequential sampling of species, where observed samples are classified into the species they belong to. We are particularly interested in studying some quantities de…