10 citations · 10 across the 2 of their papers we have counts for
4 papers
Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions
Khalil Chouk, Willem van Zuijlen
In this paper we consider the Anderson Hamiltonian with white noise potential on the box with Dirichlet boundary conditions. We show that all the eigenvalues divided by $…
Path-by-path regularization by noise for scalar conservation laws
Khalil Chouk, Benjamin Gess
We prove a path-by-path regularization by noise result for scalar conservation laws. In particular, this proves regularizing properties for scalar conservation laws driven by fract…
An invariance principle for the two-dimensional parabolic Anderson model with small potential
Khalil Chouk, Jan Gairing, Nicolas Perkowski
We prove an invariance principle for the two-dimensional lattice parabolic Anderson model with small potential. As applications we deduce a Donsker type convergence result for a di…
The continuous Anderson hamiltonian in dimension two
Romain Allez, Khalil Chouk
We define the Anderson hamiltonian on the two dimensional torus . This operator is formally defined as where is the Laplacian oper…