Sinkhorn-rescaled random matrices converge to the continuous static Schrödinger bridge with explicit non-asymptotic rates and new stability theory for the bridge.
S chr \"o dinger , Journal de Math \'e matiques Pures et Appliqu \'e es 19 (1940), no
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Scaling limit of Sinkhorn-rescaled Random Matrices via Stability of Static Schr\"odinger Bridges
Sinkhorn-rescaled random matrices converge to the continuous static Schrödinger bridge with explicit non-asymptotic rates and new stability theory for the bridge.