4 papers
Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model
Frank Redig, Ellen Saada, Berend van Tol
Motivated by the dissipative abelian sandpile model, we analyze the trajectories of a one-dimensional random walk in a landscape of soft traps. These traps, placed at increasing di…
Duality for some models of epidemic spreading
Chiara Franceschini, Ellen Saada, Gunter M. Schütz +1
We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spr…
Particle systems with sources and sinks
Frank Redig, Ellen Saada
Local perturbations in conservative particle systems can have a non-local influence on the stationary measure. To capture this phenomenon, we analyze in this paper two toy models.…
Freezing transitions in non-Fellerian particle systems
C. Maes, F. Redig, E. Saada
Non-Fellerian processes show phenomena that are unseen in standard interacting particle systems. We consider freezing transitions in one-dimensional non-Fellerian processes which a…