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math.PR2026
Navier-Stokes with a fractional transport noise as a limit of multi-scale dynamics
Xue-Mei Li, Szymon Sobczak
We define a bona fide rough path solution for the Navier-Stokes equation with an additional rough transport term, and show that the SPDE on the three-dimensional torus driven by a…
math.PR2025
Fluctuations from a random fractional averaging limit
Xue-Mei Li, Colin Piernot, Szymon Sobczak +1
We consider a system of multiscale stochastic differential equations whose slow component is drivenby a fractional Brownian motion with Hurst parameter H greater than 1/2. Under er…