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math.AP2026
Path-Space Optimal Transport with Interactions: Kinetic Equations and Eikonal Structure
Rene Cabrera
We study a dynamical optimal transport problem on path-space with kinetic cost and nonlocal interaction. For a Gaussian interaction kernel, cyclical monotonicity and the regularity…
math.AP2026
A minimax Bilinear Transport Problem and Nash-Monge-Kantorovich Maps
Rene Cabrera, Edward Huynh
We study a min-max bilinear transport problem arising from a two-player zero-sum game with quadratic kinetic and interaction costs. Starting from a dynamic path space formulation,…