Jie-Xiang Zhu

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20232025

most citedAsymptotic behavior of Wasserstein distance for weighted empirical measures of diffusion processes on compact Riemannian manifolds

1 citations · 2 across the 5 of their papers we have counts for

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Showing 2024 · math.PRShow all

3 papers · 2 filters

math.PR2024

Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of ${n α}$

Bingyao Wu, Jie-Xiang Zhu

Fix an irrational number $α$ . Let $X_{1}, X_{2}, \dots$ be independent, identically distributed, integer-valued random variables with characteristic function $φ$ , and let $S_n=\sum_{i=1…

math.PR2024★ 1 cited

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 $L^{q}$ -Convergence Rate in $p$ -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…

Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of {nα}

Wasserstein asymptotics for empirical measures of diffusions on four dimensional closed manifolds

Sharp Lq-Convergence Rate in p-Wasserstein Distance for Empirical Measures of Diffusion Processes

Wasserstein Convergence Rates for Empirical Measures of Random Subsequence of ${n α}$

Sharp $L^{q}$ -Convergence Rate in $p$ -Wasserstein Distance for Empirical Measures of Diffusion Processes