3 papers
math.PR2025
Percolation in the marked stationary Random Connection Model for higher-dimensional simplicial complexes
Dominik Pabst
We introduce a novel percolation model that generalizes the classical Random Connection Model (RCM) to a random simplicial complex, allowing for a more refined understanding of con…
math.PR2025
Betti numbers in the Random Connection Model for higher-dimensional simplicial complexes and the Boolean model
Dominik Pabst
Random simplicial complexes, as generalizations of random graphs, have become increasingly popular in the literature in recent years. In this paper, we consider a new model for a r…
math.PR2025
Central limit theorems for the Euler characteristic in the Random Connection Model for higher-dimensional simplicial complexes
Dominik Pabst
As generalizations of random graphs, random simplicial complexes have been receiving growing attention in the literature. In this paper, we naturally extend the Random Connection M…