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math.PR2026
Superdiffusion and anomalous regularization in self-similar random incompressible flows
Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi
We study the long-time behavior of a particle in , , subject to molecular diffusion and advection by a random incompressible flow. The velocity field is the…
math.PR2024
Renormalization group and elliptic homogenization in high contrast
Scott Armstrong, Tuomo Kuusi
We prove a quantitative estimate for the homogenization length scale in terms of the ellipticity ratio of the coefficient field. This upper bound applies to high-contrast ell…
math.PR2024
Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift
Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi
We consider the long-time behavior of a diffusion process on advected by a stationary random vector field which is assumed to be divergence-free, dihedrally symmetri…