186 citations · 896 across the 70 of their papers we have counts for
14 papers · 1 filter
Infinite-dimensional Hamilton-Jacobi equations for statistical inference on sparse graphs
Tomas Dominguez, Jean-Christophe Mourrat
We study the well-posedness of an infinite-dimensional Hamilton-Jacobi equation posed on the set of non-negative measures and with a monotonic non-linearity. Our results will be us…
Variational methods for the kinetic Fokker-Planck equation
D. Albritton, S. Armstrong, J. -C. Mourrat +1
We develop a functional analytic approach to the study of the Kramers and kinetic Fokker-Planck equations which parallels the classical theory of uniformly elliptic equations…
Quantitative stochastic homogenization and regularity theory of parabolic equations
Scott Armstrong, Alexandre Bordas, Jean-Christophe Mourrat
We develop a quantitative theory of stochastic homogenization for linear, uniformly parabolic equations with coefficients depending on space and time. Inspired by recent works in t…
Quantitative stochastic homogenization and large-scale regularity
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat
This is a preliminary version of a book which presents the quantitative homogenization and large-scale regularity theory for elliptic equations in divergence-form. The self-contain…
Quantitative analysis of boundary layers in periodic homogenization
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat +1
We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estim…
Scaling limits of energies and correctors
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat
In stochastic homogenization of elliptic equations, the corrector plays a central role. Under a finite range of dependence assumption on the coefficient field, we show that the lar…