186 citations · 896 across the 70 of their papers we have counts for
6 papers · 1 filter
Mesoscopic higher regularity and subadditivity in elliptic homogenization
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat
We introduce a new method for obtaining quantitative results in stochastic homogenization for linear elliptic equations in divergence form. Unlike previous works on the topic, our…
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments
Jean-Christophe Mourrat, Felix Otto
We introduce anchored versions of the Nash inequality. They allow to control the norm of a function by Dirichlet forms that are not uniformly elliptic. We then use them to pr…
Scaling limit of fluctuations in stochastic homogenization
Yu Gu, Jean-Christophe Mourrat
We investigate the global fluctuations of solutions to elliptic equations with random coefficients in the discrete setting. In dimension and for i.i.d.\ coefficients, we…
Scaling limit of the corrector in stochastic homogenization
Jean-Christophe Mourrat, James Nolen
In the homogenization of divergence-form equations with random coefficients, a central role is played by the corrector. We focus on a discrete space setting and on dimension 3 and…
A tightness criterion for random fields, with application to the Ising model
Marco Furlan, Jean-Christophe Mourrat
We present a criterion for a family of random distributions to be tight in local Hölder and Besov spaces of possibly negative regularity. We then apply this criterion to the magnet…
Global well-posedness of the dynamic model in the plane
Jean-Christophe Mourrat, Hendrik Weber
We show global well-posedness of the dynamic model in the plane. The model is a non-linear stochastic PDE that can only be interpreted in a "renormalised" sense. Solutions ta…