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Showing 2023 · math.PRShow all
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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…