5 citations · 25 across the 28 of their papers we have counts for
46 papers
Functional central limit theorems for Laguerre tessellations
Chinmoy Bhattacharjee, Anna Gusakova, Christian Hirsch
We study empirical processes of observable extreme generators in stationary Poisson-Laguerre tessellations, with each generator weighted either by one or by the volume of its cell.…
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…
Lower large deviations for geometric functionals in sparse, critical and dense regimes
Christian Hirsch, Daniel Willhalm
We prove lower large deviations for geometric functionals in sparse, critical and dense regimes. Our results are tailored for functionals with nonexisting exponential moments, for…
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…
Limit theory of sparse random geometric graphs in high dimensions
Gilles Bonnet, Christian Hirsch, Daniel Rosen +1
We study topological and geometric functionals of -random geometric graphs on the high-dimensional torus in a sparse regime, where the expected number of neighbors decays…
Face and cycle percolation
Christian Hirsch, Daniel Valesin
We consider face and cycle percolation as models for continuum percolation based on random simplicial complexes in Euclidean space. Face percolation is defined through infinite seq…