2 papers
math.PR2024
Wasserstein asymptotics for empirical measures of diffusions on four dimensional closed manifolds
Dario Trevisan, Feng-Yu Wang, Jie-Xiang Zhu
We identify the leading term in the asymptotics of the quadratic Wasserstein distance between the invariant measure and empirical measures for diffusion processes on closed weighte…
math.PR2024
Sharp -Convergence Rate in -Wasserstein Distance for Empirical Measures of Diffusion Processes
Feng-Yu Wang, Bingyao Wu, Jie-Xiang Zhu
For a class of (non-symmetric) diffusion processes on a length space, which in particular include the (reflecting) diffusion processes on a connected compact Riemannian manifold, t…