Xiaoqian Xu

activity

20132026

most citedSuppression of chemotactic explosion by mixing

115 citations · 240 across the 21 of their papers we have counts for

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2 papers · 1 filter

math.AP2026

Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs

Chenyang An, Xiaoqian Xu

We establish explicit lower bounds for advection-diffusion equations in three settings: a polynomial $H ˙^{- 1}$ bound for inviscid shears with $u \in L_{t}^{\infty} W_{y}^{1, 1}$ , a uni…

math.PR2026

Accelerating sampling via asymptotic relaxation enhancing flows

Yuanyuan Feng, Lei Li, Jian-Guo Liu +1

In this paper, we accelerate Langevin Monte Carlo sampling from Gibbs measures $π \propto exp (- U)$ by adding a large drift that preserves the invariant measure. For warm-start init…