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20212025
most citedWasserstein Convergence for Empirical Measures of Subordinated Dirichlet Diffusions on Riemannian Manifolds

2 citations · 4 across the 7 of their papers we have counts for

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8 papers

math.PR2025

Exact rate of convergence for the empirical measure of a subordinated process in -Wasserstein distance

René L. Schilling, Bingyao Wu

We establish exact rates of convergence in the -Wasserstein distance for the empirical measure of a class of non-symmetric jump processes, which are subordinated to a diffusion…

math.FA2025

On Limit Formulas for Besov Seminorms and Nonlocal Perimeters in the Dunkl Setting

Huaiqian Li, Bingyao Wu

We investigate the limiting behavior of Besov seminorms and nonlocal perimeters in Dunkl theory. The present work generalizes two fundamental results: the Maz'ya--Shaposhnikova for…

math.PR2023

Asymptotics of Kantorovich Distance for Empirical Measures of the Laguerre Model

Huaiqian Li, Bingyao Wu

We estimate the rate of convergence for the Kantorovich (or Wasserstein) distance between empirical measures of i.i.d. random variables associated with the Laguerre model of order…

math.PR2023

Wasserstein Convergence for Empirical Measures of Subordinated Fractional Brownian Motions on the Flat Torus

Huaiqian Li, Bingyao Wu

We estimate rates of convergence for empirical measures associated with the subordinated fractional Brownian motion to the uniform distribution on the flat torus under the Wasserst…

math.PR2022★ 2 cited

Wasserstein Convergence for Empirical Measures of Subordinated Dirichlet Diffusions on Riemannian Manifolds

Huaiqian Li, Bingyao Wu

We investigate long-time behaviors of empirical measures associated with subordinated Dirichlet diffusion processes on a compact Riemannian manifold with boundary …

math.PR2022★ 1 cited

Wasserstein Convergence for Conditional Empirical Measures of Subordinated Dirichlet Diffusions on Riemannian Manifolds

Huaiqian Li, Bingyao Wu

The asymptotic behaviour of empirical measures has plenty of studies. However, the research on conditional empirical measures is limited. Being the development of Wang \cite{eW1},…

math.PR2022★ 1 cited

Wasserstein Convergence Rates for Empirical Measures of Subordinated Processes on Noncompact Manifolds

Huaiqian Li, Bingyao Wu

The asymptotic behaviour of empirical measures has been studied extensively. In this paper, we consider empirical measures of given subordinated processes on complete (not necessar…

math.PR2021

Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds

Feng-Yu Wang, Bingyao Wu

Let be a connected compact Riemannian manifold possibly with a boundary, let such that $μ(\d x):=\e^{V(x)}\d x$ is a probability measure, where $\d x$ is the volu…