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math.PR2026
The hydrodynamic limit for the energy transport in a stochastically perturbed harmonic chain of oscillators
Tomasz Komorowski, Stefano Olla, Marielle Simon
We consider a pinned harmonic chain perturbed by random velocity flips, which conserve the total energy. Previous results have established the diffusive hydrodynamic limit for the…
math.PR2026
The Gaussian structure of a perturbed KPZ
Yu Gu, Tomasz Komorowski
We study the KPZ equation on a circle with an additive spatial perturbation , where is a spacetime white noise and is a s…
math.PR2024
Homogenization of stable-like operators with random, ergodic coefficients
Tomasz Klimsiak, Tomasz Komorowski, Lorenzo Marino
We show homogenization for a family of -valued stable-like processes , , whose (random) Fourier symbols equal $q_ε(x,ξ;θ)=\frac{1}{ε^…