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convex analysis 1curvature convergence 1monge-ampere equation 1point cloud approximation 1tropical geometry 1

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math.AP2026

Many-point tropical relaxation and the Monge--Ampère equation

Nikita Kalinin, Ernesto Lupercio, Higinio Serrano +1

The authors develop a tropical approximation scheme for the planar Aleksandrov Monge‑Ampère equation using concave tropical series defined by point clouds, and prove that the scale…