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math.AP2025
The Multi-marginal Monge Problem and an Application to Metasurfaces
Irem Altiner, Cristian E. Gutiérrez
This paper studies the multi-marginal Monge problem in the setting of compact metric spaces proving existence and uniqueness of solutions when the cost function is Lipschitz. We ap…
math.AP2025
Double metasurfaces and Optimal transport
Irem Altiner, Cristian E. Gutiérrez
This paper constructs metalenses that separate homogeneous media with different refractive indices, refracting one domain into another while conserving a prescribed energy distribu…