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math.CA2026
A universal support theorem for 1-Wasserstein optimal transport
Ze-An Ng
We show that every optimal transport plan for the -Wasserstein distance in is supported on a closed rectifiable set. In particular, the support of any optima…
math.CA2025
On equality of the norm of the gradient under the Hausdorff and Lebesgue measure
Ze-An Ng
Let be an open subset of , and let be differentiable -almost everywhere, for some nonnegative integer , where $\mathcal H^…