2 papers
math.PR2026
Stationary fluctuations for an exclusion process with mass and energy conservation
Hugo Da Cunha, Makiko Sasada
We introduce a novel exclusion process with two conservation laws, mass and energy, designed to mimic the essential features of continuous systems like interacting oscillators with…
math.PR2025
Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries
Hugo Da Cunha, Lu Xu
In this paper, we prove the hydrodynamic limit for the ergodic dynamics of the Facilitated Exclusion Process with closed boundaries in the symmetric, asymmetric and weakly asymmetr…