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math.AP2026
Uniqueness and shape of simplex ground states for aggregation--diffusion energies with mild repulsion
Tongseok Lim, Geuntaek Seo
We study global minimizers in of the free energy , where is a power-law interaction energy with mild repulsion…
math.NA2026
A Neural JKO Scheme for Hellinger-Kantorovich Gradient Flows via Monge-Growth Pairs
Geuntaek Seo, Cheolhyeong Kim, Hwijae Son +1
We develop a mesh-free neural JKO scheme for advection-reaction-diffusion equations with a gradient-flow structure in the Hellinger-Kantorovich (HK) geometry of unbalanced optimal…