Scott Armstrong

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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 $R^{d}$ , $d \geq 2$ , subject to molecular diffusion and advection by a random incompressible flow. The velocity field is the…

math.PR2025

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 $I^/ I^»$ of the coefficient field. This upper bound applies to high-contrast e…