Tuomo Kuusi

activity

20102026

p

-minimizers

359 citations · 1k across the 39 of their papers we have counts for

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3 papers · 1 filter

math.AP2026

Homogenization at a polynomial scale in high contrast

Scott Armstrong, Tuomo Kuusi, Amélie Loher

We prove an upper bound on the homogenization length scale which is a fixed power of the coarse ellipticity ratio for coefficient fields that satisfy a finite range of dependence a…

math.AP2026

Coarse-grained ellipticity and De Giorgi-Nash-Moser theory

Scott Armstrong, Benny Avelin, Cristiana De Filippis +2

We prove local boundedness and a Harnack inequality for nonnegative weak solutions of the equation $- \nabla \cdot (a (x) \nabla u) = 0$ under a coarse-grained ellipticity assump…

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…