Jiaoyang Huang

activity

20132026

most citedBulk universality of sparse random matrices

69 citations · 455 across the 44 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.PR2026

Height fluctuation for Lozenge Tilings of Polygons

Jiaoyang Huang

We establish Gaussian free field fluctuations for uniformly random lozenge tilings of simply connected polygonal domains with $3 d$ sides whose directions cycle through the three la…

math.PR2026

Support of Dyson Brownian Motion

Jiaoyang Huang, Shengjing Xu

We consider beta-Dyson Brownian motion, with $β >= 1$ , started from a deterministic configuration with uniformly bounded support. Let $μ_{t}$ be the semicircular free-convolution flow…

math.CV2026

Non-symmetric vector dyson equations

Jiaoyang Huang, Zhonggen Su, Ruizhe Xu

We study the vector Dyson equation $- \frac{1}{m ( z )} = z 1 - a + S m (z),$ with parameter $z$ in the complex upper half-plane $C_{+}$ , where $\mathbf{a}\in\mathbb…