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.AP2026

Stability of optimal transport on sub-Riemannian manifolds

Bang-Xian Han, Zhuo-Nan Zhu

We study the stability of optimal transport for the squared Carnot--Carathéodory distance. We prove the sharp $W_{1}^{1/4}$ stability estimate for optimal transport maps on complete…

math.AP2026

Stability of Kantorovich potentials via heat kernel regularization

Bang-Xian Han, Zhuo-Nan Zhu

This survey presents heat kernel regularization as a method for quantitative stability of Kantorovich potentials for the quadratic transport cost. We give a complete new heat kerne…