41 citations · 189 across the 38 of their papers we have counts for
4 papers · 1 filter
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…
Kardar-Parisi-Zhang equation and large deviations for random walks in weak random environments
Ivan Corwin, Yu Gu
We consider the transition probabilities for random walks in dimensional space-time random environments (RWRE). For critically tuned weak disorder we prove a sharp large devi…
High order correctors and two-scale expansions in stochastic homogenization
Yu Gu
In this paper, we study high order correctors in stochastic homogenization. We consider elliptic equations in divergence form on , with the random coefficients constr…
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…