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math.AP2023
Geometry and analytic properties of the sliced Wasserstein space
Sangmin Park, Dejan Slepčev
The sliced Wasserstein metric compares probability measures on by taking averages of the Wasserstein distances between projections of the measures to lines. The dist…
math.CA2023
Convergence and non-convergence in a nonlocal gradient flow
Sangmin Park, Robert L. Pego
We study the asymptotic convergence of solutions as of , a nonlocal differential equation that is formally a gradient flow in a c…