Linhang Huang

collaborators

5 papers

math.CV2026

Electrostatic skeletons and condition of strict descent

Linhang Huang

Given a precompact domain $I^c ◯ \subseteq R^{2}$ , the electrostatic skeleton of $I^c ◯$ is defined as a positive measure inside $I^c ◯$ , supported on a set with no simple loops, which…

math.OC2025

Low-Discrepancy Set Post-Processing via Gradient Descent

FranÃ§ois ClÃ©ment, Linhang Huang, Woorim Lee +3

The construction of low-discrepancy sets, used for uniform sampling and numerical integration, has recently seen great improvements based on optimization and machine learning techn…

math.CV2025

Many lemniscates with large diameter

Linhang Huang

We prove that for every $0 < c < 4$ and every $N \in N$ there exists a monic polynomial $p (z) = z^{n} + a_{n - 1} z^{n - 1} + \dots + a_{0}$ such that the set $\{z \in \mathbb{C}…

math.AP2025

On convex domains maximizing the gradient of the torsion function

Linhang Huang

We consider the solution of $- I^ u = 1$ on convex domains $I^c ◯ \subset R^{2}$ subject to Dirichlet boundary conditions $u = 0$ on $\partial I^c ◯$ . Our main concern is the behavior…

math.DS2025

Collet-Eckmann type conditions and conformal welding of unicritical quadratic laminations

Linhang Huang

In this paper, we introduce a Collet-Eckmann type condition for the unicritical laminations on the unit circle. We prove that this condition implies the lamination admits a HÃ¶lder…