1 citations · 3 across the 8 of their papers we have counts for
9 papers · 1 filter
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…
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…
Poisson approximation of large-lifetime cycles
Christian Hirsch, Nikolaj Nyvold Lundbye, Moritz Otto
In topological data analysis, the notions of persistent homology, birthtime, lifetime, and deathtime are used to assign and capture relevant cycles (i.e., topological features) of…
Planar reinforced -out percolation
Gideon Amir, Markus Heydenreich, Christian Hirsch
We investigate the percolation properties of a planar reinforced network model. In this model, at every time step, every vertex chooses incident edges, whose weight is th…
Cumulant method for weighted random connection models
Nils Heerten, Christian Hirsch, Moritz Otto
In this paper, we derive cumulant bounds for subgraph counts and power-weighted edge length in a class of spatial random networks known as weighted random connection models. This i…
Large deviations for the isoperimetric constant in 2D percolation
Christian Hirsch, Kyeongsik Nam
Isoperimetric profile describes the minimal boundary size of a set with a prescribed volume. Itai Benjamini conjectured that the isoperimetric profile of the giant component in sup…