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math.PR2025
Normal approximation for subgraph counts in age-dependent random connection models
Christian Hirsch, Raphaël Lachièze-Rey, Takashi Owada
We study normal approximation of subgraph counts in a model of spatial scale-free random networks known as the age-dependent random connection model. In the light-tailed regime whe…
math.PR2024
Functional central limit theorem for topological functionals of Gaussian critical points
Christian Hirsch, Raphaël Lachièze-Rey
We consider Betti numbers of the excursion of a smooth Euclidean Gaussian field restricted to a rectangular window, in the asymptotics where the window grows to R^d . With motivati…