arxivmath.OCcs.LGcs.MAeess.SY2026-07-10
Control Laguerre Tessellation: Semi-discrete Optimal Transport Over Control Systems
Ripon C. Sarker, Abhishek Halder
We study the optimal transport of optimally controlled agents from a compactly supported absolutely continuous source to a discrete target measure. The ground cost for the transport is induced by the optimal cost of the agents' motion. When this ground cost satisfies the twist co…