3 papers
math.PR2026
Point process convergence of large inradii of Poisson-Laguerre tessellations
Matthias Schulte, Martina Švarc Petráková
In this paper we study a weighted generalization of the Poisson-Voronoi tessellation called the Poisson-Laguerre tessellation, where the nuclei of the generating Poisson process ad…
math.PR2026
Mixing Properties of Random Laguerre Tessellations
Zbyněk Pawlas, Martina Švarc Petráková
In this paper, we study the random Laguerre tessellation, a weighted generalization of the Voronoi tessellation, generated by a general stationary marked point process. We first de…
math.PR2024
Large Deviation Analysis for Canonical Gibbs Measures
Christian Hirsch, Martina Petráková
In this paper, we present a large-deviation theory developed for functionals of canonical Gibbs processes, i.e., Gibbs processes with respect to the binomial point process. We stud…