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math.AP2025
A variational perspective on the dissipative Hamiltonian structure of the Vlasov-Fokker-Planck equation
Sangmin Park
The Vlasov-Fokker-Planck equation describes the evolution of the probability density of the position and velocity of particles under the influence of external confinement, interact…
math.AP2024
Geometry and analytic properties of the sliced Wasserstein space
Sangmin Park, Dejan SlepÄev
The sliced Wasserstein metric compares probability measures on by taking averages of the Wasserstein distances between projections of the measures to lines. The dist…