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math.AP2025
Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics
Jianfeng Lu
We consider quantitative convergence analysis for hypocoercive dynamics such as Langevin and Lindblad equations describing classical and quantum open systems. Our goal is to provid…
math.AP2025
Solution Theory of Hamilton-Jacobi-Bellman Equations in Spectral Barron Spaces
Ye Feng, Jianfeng Lu
We study the solution theory of the whole-space static (elliptic) Hamilton-Jacobi-Bellman (HJB) equation in spectral Barron spaces. We prove that under the assumption that the coef…