21 citations · 72 across the 6 of their papers we have counts for
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math.FA2018★ 6 cited
Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance
Yu Cao, Jianfeng Lu, Yulong Lu
We study the entropy production of the sandwiched Rényi divergence under the primitive Lindblad equation with GNS-detailed balance. We prove that the Lindblad equation can be ident…
math.AP2018★ 17 cited
Exponential decay of Rényi divergence under Fokker-Planck equations
Yu Cao, Jianfeng Lu, Yulong Lu
We prove the exponential convergence to the equilibrium, quantified by Rényi divergence, of the solution of the Fokker-Planck equation with drift given by the gradient of a strictl…
math.NA2018★ 9 cited
Stochastic dynamical low-rank approximation method
Yu Cao, Jianfeng Lu
In this paper, we extend the dynamical low-rank approximation method to the space of finite signed measures. Under this framework, we derive stochastic low-rank dynamics for stocha…