186 citations · 896 across the 70 of their papers we have counts for
5 papers · 2 filters
Construction of diagrams for pedestrians
Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu
We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical model. The construction…
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…
Spatial Gibbs random graphs
Jean-Christophe Mourrat, Daniel Valesin
Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of…
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…
On generalized Gaussian free fields and stochastic homogenization
Yu Gu, Jean-Christophe Mourrat
We study a generalization of the notion of Gaussian free field (GFF). Although the extension seems minor, we first show that a generalized GFF does not satisfy the spatial Markov p…