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math.AP2026
Döblin--Fourier cancellation and kinetic Aleksandrov estimates
Amélie Loher, Connor Mooney, Clément Mouhot
We develop a cancellation mechanism for linear second-order kinetic equations in non-divergence form with measurable uniformly elliptic coefficients. We decompose the dynamics into…
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…