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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 hype…
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
Limit theorems under heavy-tailed scenario in the age dependent random connection models
Christian Hirsch, Takashi Owada
This paper considers limit theorems associated with subgraph counts in the age-dependent random connection model. First, we identify regimes where the count of sub-trees converges…