16 citations · 62 across the 27 of their papers we have counts for
28 papers
The Zombie Infection Model
Stein Andreas Bethuelsen, Erik Broman, Samuel Modée
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…
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…
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…
Cover times of the massive random walk loop soup
Erik I. Broman, Federico Camia
We study cover times of subsets of by a two-dimensional massive random walk loop soup. We consider a sequence of subsets such that $|A_n…
Higher-dimensional stick percolation
Erik I. Broman
We consider two cases of the so-called stick percolation model with sticks of length In the first case, the orientation is chosen independently and uniformly, while in the sec…
The existence phase transition for two Poisson random fractal models
Erik I. Broman, Johan Jonasson, Johan Tykesson
In this paper we study the existence phase transition of the random fractal ball model and the random fractal box model. We show that both of these are in the empty phase at the cr…