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math.PR2021
Smoothness of the diffusion coefficients for particle systems in continuous space
Arianna Giunti, Chenlin Gu, Jean-Christophe Mourrat +1
For a class of particle systems in continuous space with local interactions, we show that the asymptotic diffusion matrix is an infinitely differentiable function of the density of…
math.AP2021
Edge States for generalised Iwatsuka models: Magnetic fields having a fast transition across a curve
Arianna Giunti, Juan J. L. Velázquez
In this paper, we study the localization and propagation properties of the edge states associated to a class of magnetic laplacians in . We assume that the intensity…
math.AP2021★ 4 cited
Derivation of Darcy's law in randomly punctured domains
Arianna Giunti
We consider the homogenization of a Poisson problem or a Stokes system in a randomly punctured domain with Dirichlet boundary conditions. We assume that the holes are spherical and…