3 papers
math.PR2026
The Zombie Infection Model
Stein Andreas Bethuelsen, Erik Broman, Samuel Modée +1
We study a variant of the stochastic SIR model on graphs that has previously been introduced in the physics literature for modelling zombie outbreaks and here referred to as the Zo…
math.PR2025
The Poisson stick model in hyperbolic space
Erik I. Broman, Johan H. Tykesson
In this paper we study the Poisson stick model in two dimensional hyperbolic space where the sticks all have length Typically, percolation models in hyperbolic…
math.PR2024
Percolation of fat Poisson cylinders in hyperbolic space
Carina Betken, Erik Broman, Anna Gusakova +1
In this paper we study Poisson processes of so-called "fat" cylinders in hyperbolic space. As our main result we show that this model undergoes a percolation phase transition. We p…