10 papers · 1 filter
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…
Hydrodynamic limit of the symmetric exclusion process on complete Riemannian manifolds and principal bundles
Jonathan Junné, Frank Redig, Rik Versendaal
We prove that the hydrodynamic limit of the symmetric exclusion process (SEP) is a Fokker-Planck equation in the setting of Poisson random neighborhood graphs approximating a weigh…
Gaussian concentration, integral probability metrics, and coupling functionals for infinite lattice systems
J. -R. Chazottes, P. Collet, F. Redig
We develop a transport-entropy framework for Gaussian concentration inequalities on the infinite product space , where is a finite set, in which sensitivity is…
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…
Hydrodynamic limit and large deviations for run-and-tumble particles with mean-field switching rates
Elena Pulvirenti, Frank Redig, Hidde van Wiechen
In this paper, we study run-and-tumble particles moving on two copies of the discrete torus (referred to as layers), where the switching rate between layers depends on a mean-field…
Gaussian concentration bounds for probabilistic cellular automata
Jean-René Chazottes, Frank Redig, Edgardo Ugalde
We study lattice spin systems and analyze the evolution of Gaussian concentration bounds (GCB) under the action of probabilistic cellular automata (PCA), which serve as discrete-ti…