2 papers
math.PR2025
Sharpness of the percolation phase transition for weighted random connection models
Alejandro Caicedo, Leonid Kolesnikov
We establish the sharpness of the percolation phase transition for a class of infinite-range weighted random connection models. The vertex set is given by a marked Poisson point pr…
math.PR2023
Critical Exponents for Marked Random Connection Models
Alejandro Caicedo, Matthew Dickson
Here we prove critical exponents for Random Connections Models (RCMs) with random marks. The vertices are given by a marked Poisson point process on and an edge exis…