In this talk, I will consider the empirical measure associated with the subordinated (reflected) diffusion process on complete noncompact Riemannian manifolds (with boundary). I will present the asymptotic upper and lower bound for the Wasserstein (or Kantorovich) distance between empirical measures and the unique the invariant measure. The estimates reveal the sharp rate of convergence. Ideas of proof will be explained.
学术海报.pdf
