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math.PR2026
Kinetic Mean-Field Planning via Schrödinger Bridges: Existence, Penalization, and Consistency Bounds
Erhan Bayraktar, Zhiyan Ding, Hiroaki Horikawa
We study a mean-field planning problem for a swarm of interacting, non-cooperative agents whose dynamics are stochastic and kinetic. The noise acts on the velocity only, and the in…
math.AP2026
Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space
Zhiyan Ding, Ibrahim Ekren, Yuxi Han +1
We study a homogenization problem for first-order Hamilton-Jacobi equations in the Wasserstein space with a convex Hamiltonian. We show that the solution , which is…