359 citations · 1k across the 39 of their papers we have counts for
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Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Benny Avelin, Tuomo Kuusi, Patrik Nummi +3
We study periodic solutions to the following divergence-form stochastic partial differential equation with Wick-renormalized gradient on the -dimensional flat torus $\mathbb{T}^…
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 of the coefficient field. This upper bound applies to high-contrast ell…
Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift
Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi
We consider the long-time behavior of a diffusion process on advected by a stationary random vector field which is assumed to be divergence-free, dihedrally symmetri…
1D stochastic pressure equation with log-correlated Gaussian coefficients
Benny Avelin, Tuomo Kuusi, Patrik Nummi +3
We study unique solvability for one dimensional stochastic pressure equation with diffusion coefficient given by the Wick exponential of log-correlated Gaussian fields. We prove we…