18 citations · 53 across the 7 of their papers we have counts for
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math.DS2017★ 18 cited
A discrete Schrodinger equation via optimal transport on graphs
Shui-Nee Chow, Wuchen Li, Haomin Zhou
In 1966, Edward Nelson presented an interesting derivation of the Schrodinger equation using Brownian motion. Recently, this derivation is linked to the theory of optimal transport…
math.DS2017★ 4 cited
Entropy dissipation of Fokker-Planck equations on graphs
Shui-Nee Chow, Wuchen Li, Haomin Zhou
We study the nonlinear Fokker-Planck equation on graphs, which is the gradient flow in the space of probability measures supported on the nodes with respect to the discrete Wassers…