3 papers
math.PR2025
Convergence of the KMP model to the KPZ equation
Guillaume Barraquand, Francesco Casini
We prove that the Kipnis-Marchioro-Presutti (KMP) process converges to the Kardar-Parisi-Zhang (KPZ) equation, as time goes to infinity, in a properly scaled observation window…
math.PR2024
A large deviation principle for the multispecies stirring process
Francesco Casini, Frank Redig, Hidde van Wiechen
In this paper we consider the multispecies stirring process on the discrete torus. We prove a large deviation principle for the trajectory of the vector of densities of the differe…
math.PR2023
Duality for a boundary driven asymmetric model of energy transport
Gioia Carinci, Francesco Casini, Chiara Franceschini
We study the Asymmetric Brownian Energy, a model of heat conduction defined on the one-dimensional finite lattice with open boundaries. The system is shown to be dual to the Symmet…