7 papers · 1 filter
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…
The truncation property and continuity for the long-range contact process on
Stein Andreas Bethuelsen, Frank Namugera
We consider a general class of contact processes on with potentially long-range interactions. By adapting well established renormalization arguments to the long-rang…
Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for
Stein Andreas Bethuelsen, Matthias Birkner, Andrej Depperschmidt +1
In this work we extend the quenched local limit theorem obtained by the authors in [BBDS23]. More precisely, we consider a directed random walk on the backbone of the supercritical…
Strict monotonicity of critical points in independent long-range percolation models
Stein Andreas Bethuelsen, Christian Mönch
We consider independent long-range percolation models on locally finite vertex-transitive graphs. Using coupling ideas we prove strict monotonicity of the critical points with resp…
Mixing for Poisson representable processes and consequences for the Ising model and the contact process
Stein Andreas Bethuelsen, Malin Palö Forsström
Forsström et al. [8] recently introduced a large class of -valued processes that they named Poisson representable. In addition to deriving several interesting properties…
Random walks on random walks: non-perturbative results in high dimensions
Stein Andreas Bethuelsen, Florian Völlering
Consider the dynamic environment governed by a Poissonian field of independent particles evolving as simple random walks on . The random walk on random walks model re…