2 papers
math.AP2025
New invariant surface measures for the cubic Schrödinger equation
Jean-Baptiste Casteras, Ana Bela Cruzeiro, Annie Millet
We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear Schrödinger equation in dimensions and .
math.DG2025
Stochastic perturbation of geodesics on the manifold of Riemannian metrics
Ana Bela Cruzeiro, Ali Suri
In this paper, using diffusion processes, we compute the evolution equation on the manifold of Riemannian metrics for the Lagrangian induced by the stochastic kinetic energy…