3 papers
math.PR2025
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…
math-ph2025
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…
math.PR2024
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.…