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math.PR2025

Tail asymptotics and precise large deviations for some Poisson cluster processes

Fabien Baeriswyl, Valérie Chavez-Demoulin, Olivier Wintenberger

We study the tail asymptotics of two functionals (the maximum and the sum of the marks) of a generic cluster in two sub-models of the marked Poisson cluster process, namely the ren…