The Benamou-Brenier formula holds for the Schrödinger problem on sub-Gaussian probability measures via PDE estimates on potentials and entropic interpolation.
Entropy minimization, DAD problems, and doubly stochastic kernels
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A PDE approach to Benamou--Brenier formula for the Schr\"odinger problem
The Benamou-Brenier formula holds for the Schrödinger problem on sub-Gaussian probability measures via PDE estimates on potentials and entropic interpolation.