2 papers
math.DG2025
Coarse Ricci curvature of weighted Riemannian manifolds
Marc Arnaudon, Xue-Mei Li, Benedikt Petko
We show that the generalized Ricci tensor of a weighted complete Riemannian manifold can be retrieved asymptotically from a scaled metric derivative of Wasserstein 1-distances betw…
math.PR2025
Fluctuations of stochastic PDEs with long-range correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large-scale dynamics of the solution to a nonlinear stochastic heat equation (SHE) in dimensions with long-range dependence. This equation is driven by mult…