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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…