Jianfeng Lu

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math.AP2026

Space-Time Log-Sobolev Inequality and Hypocoercive Hypercontractivity for Underdamped Langevin Dynamics

Bowen Li, Jianfeng Lu

We study hypercontractivity for underdamped Langevin dynamics with a convex confining potential whose spatial Gibbs marginal satisfies a logarithmic Sobolev inequality (LSI). Unlik…

math.AP2026

Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified $L^{2}$ method

Zexi Fan, Bowen Li, Jianfeng Lu

In this note, we consider the underdamped Langevin dynamics with invariant measure $μ (d x d v) \propto e^{- U (x) - ∣ v ∣^{2} /2} d x d v$ . Assume that th…

Space-Time Log-Sobolev Inequality and Hypocoercive Hypercontractivity for Underdamped Langevin Dynamics

Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified L2 method

Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified $L^{2}$ method