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math.PR2025
Normal approximation of stabilizing Poisson pair functionals with column-type dependence
Hanna Döring, Adélie Garin, Christian Hirsch +1
In this paper, we study two specific types of -dimensional Poisson functionals: a double-sum type and a sum-log-sum type, both over pairs of Poisson points. On these functionals…
math.PR2025
Coverage of the unit cube by dynamic Boolean models
Hanna Döring, Lianne de Jonge, Xiaochuan Yang
Motivated by peer-to-peer telecommunication, we study a dynamic Boolean model. We define a Poisson number of random lines through the -dimensional base of a -dimensional…