3 papers
math.PR2026
Ergodic properties of the harmonic process
Frank Redig, Berend van Tol
In this paper we study detailed fluctuation results for a class of non-equilibrium steady states. The main example is the boundary driven harmonic model \cite{frassek2022exact}. In…
math.PR2025
Non-equilibrium steady states with a spatial Markov structure
Frank Redig, Berend van Tol
We investigate the structure of non-equilibrium steady states (NESS) for a class of exactly solvable models in the setting of a chain with left and right reservoirs. Inspired by re…
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…