5 papers · 1 filter
Wasserstein stability of the zero cell of a Poisson hyperplane tessellation under directional perturbations
Gilles Bonnet, Eliza O'Reilly, Bharath Roy Choudhury
A stationary Poisson hyperplane process in is characterized by an intensity parameter and an even probability measure on the unit sphere called the directional distr…
Facets of spherical random polytopes
Gilles Bonnet, Eliza O'Reilly
Facets of the convex hull of independent random vectors chosen uniformly at random from the unit sphere in are studied. A particular focus is given on the height…
The stochastic geometry of unconstrained one-bit data compression
François Baccelli, Eliza O'Reilly
A stationary stochastic geometric model is proposed for analyzing the data compression method used in one-bit compressed sensing. The data set is an unconstrained stationary set, f…
Thin-shell concentration for zero cells of stationary Poisson mosaics
Eliza O'Reilly
We study the concentration of the norm of a random vector uniformly sampled in the centered zero cell of two types of stationary and isotropic random mosaics in …
Couplings for determinantal point processes and their reduced Palm distributions with a view to quantifying repulsiveness
Jesper Møller, Eliza O'Reilly
For a determinantal point process with a kernel whose spectrum is strictly less than one, Andr{é} Goldman has established a coupling to its reduced Palm process at a…