1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
On the topology of higher-order age-dependent random connection models
Christian Hirsch, Peter Juhasz
In this paper, we investigate the potential of the age-dependent random connection model (ADRCM) with the aim of representing higher-order networks. A key contribution of our work…
Large deviations for hyperbolic -nearest neighbor balls
Christian Hirsch, Moritz Otto, Takashi Owada +1
We prove a large deviation principle for the point process of large Poisson -nearest neighbor balls in hyperbolic space. More precisely, we consider a stationary Poisson point p…
Asymptotic properties of one-layer artificial neural networks with sparse connectivity
Christian Hirsch, Matthias Neumann, Volker Schmidt
A law of large numbers for the empirical distribution of parameters of a one-layer artificial neural networks with sparse connectivity is derived for a simultaneously increasing nu…
Invariance principle for random walks on dynamically averaging random conductances
Stein Andreas Bethuelsen, Christian Hirsch, Christian Mönch
We prove an invariance principle for continuous-time random walks in a dynamically averaging environment on . In the beginning, the conductances may fluctuate substantia…