186 citations · 896 across the 70 of their papers we have counts for
9 papers · 1 filter
Diffusive Decay of the Environment Viewed by the Particle
Paul de Buyer, Jean-Christophe Mourrat
We prove an optimal diffusive decay of the environment viewed by the particle in random walk among random independent conductances, with, as a main assumption, finite second moment…
Lipschitz regularity for elliptic equations with random coefficients
Scott N. Armstrong, Jean-Christophe Mourrat
We develop a higher regularity theory for general quasilinear elliptic equations and systems in divergence form with random coefficients. The main result is a large-scale $L^\infty…
Pointwise two-scale expansion for parabolic equations with random coefficients
Yu Gu, Jean-Christophe Mourrat
We investigate the first-order correction in the homogenization of linear parabolic equations with random coefficients. In dimension and higher and for coefficients having a fi…
Convergence of the two-dimensional dynamic Ising-Kac model to
Jean-Christophe Mourrat, Hendrik Weber
The Ising-Kac model is a variant of the ferromagnetic Ising model in which each spin variable interacts with all spins in a neighbourhood of radius for around its…
Phase transition of the contact process on random regular graphs
Jean-Christophe Mourrat, Daniel Valesin
We consider the contact process with infection rate on a random -regular graph with vertices, . We study the extinction time (that is, the random amou…
Lyapunov exponents of random walks in small random potential: the upper bound
Thomas Mountford, Jean-Christophe Mourrat
We consider the simple random walk on evolving in a random i.i.d. potential taking values in . The potential is not assumed integrable, and can be resca…