186 citations · 896 across the 70 of their papers we have counts for
4 papers · 2 filters
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…
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…