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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…
math.OC2026
Analytical Approach to Continuous-Time Causal Optimal Transport
Julio Backhoff, Erhan Bayraktar, Ibrahim Ekren +1
We study causal optimal transport in continuous time, with Markovian cost, between a finite-state Markov source and a diffusion target. By replacing the source with its conditional…