boundary-driven dynamics 1Heisenberg spin chain 1integrable systems 1markov chains 1multispecies stochastic processes 1
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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…