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math.CO2023
Optimal transport for some symmetric, multidimensional integer partitions
Daniel Owusu Adu, Daniel Keliher
A result of Hohloch links the theory of integer partitions with the Monge formulation of the optimal transport problem, giving the optimal transport map between (Young diagrams of)…
math.OC2023
Stochastic Bridges over Ensemble of Linear Systems
Daniel Owusu Adu, Yongxin Chen
We consider particles that are conditioned to initial and final states. The trajectory of these particles is uniquely shaped by the intricate interplay of internal and external sou…