4 citations · 9 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Quantitative homogenization of interacting particle systems
Arianna Giunti, Chenlin Gu, Jean-Christophe Mourrat
For a class of interacting particle systems in continuous space, we show that finite-volume approximations of the bulk diffusion matrix converge at an algebraic rate. The models we…
Heat kernel upper bounds for interacting particle systems
Arianna Giunti, Yu Gu, Jean-Christophe Mourrat
We show a diffusive upper bound on the transition probability of a tagged particle in the symmetric simple exclusion process. The proof relies on optimal spectral gap estimates for…
Quantitative homogenization of degenerate random environments
Arianna Giunti, Jean-Christophe Mourrat
We study discrete linear divergence-form operators with random coefficients, also known as the random conductance model. We assume that the conductances are bounded, independent an…