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Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift

Scott Armstrong

Palomar Registrypalomar/PALOMAR-2026-10-05-000008Oct 5, 2026math.PRscore 0

A Lean formalization of the superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift (Armstrong, Bou-Rabee and Kuusi): the quenched superdiffusive invariance principle (Theorem A), quantitative homogenization of the Dirichlet problem (Theorem B), the large-scale C^{0,gamma} and C^{1,gamma} regularity theory (Theorems C and D) and the sharp asymptotics of the renormalized diffusivities (Theorem 5.1), with every result of Sections 2 to 8 of the paper that their proofs use. It is built on the public CoarseGraining homogenization library…

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