Jianfeng Lu

activity

20112026

most citedDeep Network Approximation for Smooth Functions

196 citations · 1.6k across the 143 of their papers we have counts for

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Showing 2019 · math.APShow all

3 papers · 2 filters

math.AP2019

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function

Jianfeng Lu, Stefan Steinerberger

We study the problem of maximizing the expected lifetime of drift diffusion in a bounded domain. More formally, we consider the PDE \[ - Δu + b(x) \cdot \nabla u = 1 \qquad \mbox{i…

math.AP2019★ 30 cited

On explicit $L^{2}$ -convergence rate estimate for underdamped Langevin dynamics

Yu Cao, Jianfeng Lu, Lihan Wang

We provide a refined explicit estimate of exponential decay rate of underdamped Langevin dynamics in $L^{2}$ distance, based on a framework developed in [1]. To achieve this, we firs…

math.AP2019★ 9 cited

Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects

Yuan Gao, Jian-Guo Liu, Jianfeng Lu +1

We study a $4$ th order PDE with a $2$ nd order correction that is a modification of one suggested by Peter Smereka using the tools of Krug et al (Z. Phys. B., 1994). First, we provi…

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function

On explicit L2-convergence rate estimate for underdamped Langevin dynamics

Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects

On explicit $L^{2}$ -convergence rate estimate for underdamped Langevin dynamics