186 citations · 896 across the 70 of their papers we have counts for
3 papers · 2 filters
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…
Dynamical Fractional and Multifractal Fields
Gabriel B. Apolinário, Laurent Chevillard, Jean-Christophe Mourrat
Motivated by the modeling of three-dimensional fluid turbulence, we define and study a class of stochastic partial differential equations (SPDEs) that are randomly stirred by a spa…
Statistical inference of finite-rank tensors
Hong-Bin Chen, Jean-Christophe Mourrat, Jiaming Xia
We consider a general statistical inference model of finite-rank tensor products. For any interaction structure and any order of tensor products, we identify the limit free energy…