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math.PR2026
Planarity and number of crossings in general models of random geometric graphs
Hanna Döring, Kinga Nagy
Consider a random geometric graph with vertices given by a Poisson point process, and whose edges depend on independent marks corresponding to the vertices and pairs of vertices. I…
math.PR2026
Fine asymptotics of the magnetization of the annealed dilute Curie-Weiss model
Fabian Apostel, Hanna Döring, Kristina Schubert
We consider the dilute Curie-Weiss model of size , which is a generalization of the classical Curie-Weiss model in which the dependency structure between the spins is encoded no…