3 papers
math.PR2026
Stable and Fréchet limit theorem for subgraph functionals in the hyperbolic random geometric graph
Christian Hirsch, Takashi Owada, Ruiting Tong
We study the fluctuations of subgraph counts in hyperbolic random geometric graphs on the -dimensional Poincaré ball in the heterogeneous, heavy-tailed degree regime. In a hyper…
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
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…