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Superdiffusion

Scott Armstrong, Tuomo Kuusi

Palomar Registrypalomar/PALOMAR-2026-09-18-000001Sep 18, 2026math.PRscore 0

A Lean formalization of the quantitative theory of advection-diffusion in self-similar random incompressible flows: the superdiffusive asymptotics of the effective diffusivity (Theorem A), the renormalization of the generator (quantitative homogenization of the Dirichlet problem at every scale, Theorem B), and the anomalous large-scale regularity theory (Theorem C) of Armstrong-Bou-Rabee-Kuusi, together with the sensitivity and coarse-matrix-derivative theory, the diffusivity recursion, and the diffusion-process theory that support them. The formalization consumes the public CoarseGraining…

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