Bang-Xian Han

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20242026

most citedOn the geometry of Wasserstein barycenter I

1 citations · 1 across the 13 of their papers we have counts for

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math.PR2026

Sharp Rogers--Shephard Inequalities for Rényi Entropy

Bang-Xian Han, Guoqing Zhan, Chiyu Zhou +1

We establish sharp weighted Rogers--Shephard inequalities for Rényi differential entropy. For independent copies $X, X^{'}$ of a log-concave random vector in $R^{n}$ , we prove $h_p(aX-b…

math.PR2026

Sharp Poincaré interpolation along Wasserstein geodesics

Bang-Xian Han, Zhuo-Nan Zhu

Let $μ_{0}$ and $μ_{1}$ be $κ_{0}$ - and $κ_{1}$ -strongly log-concave probability measures on $R^{n}$ , and let $(μ_{t})_{t \in [0, 1]}$ be their quadratic Wasserstein geodesic. We prove the sharp…