3 papers
math-ph2026
Anomalous diffusion properties of stochastic transport by heavy-tailed jump processes
Paolo Cifani, Franco Flandoli, Lorenzo Marino
In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, e…
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^…
math.PR2022
Anomalous diffusion limit for a kinetic equation with a thermostatted interface
Krzysztof Bogdan, Tomasz Komorowski, Lorenzo Marino
We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-absorption condition at the interface. Both the coefficient describing the prob…