Author

Jiaoyang Huang

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Preprint Sep 2026

Height fluctuation for Lozenge Tilings of Polygons

We establish Gaussian free field fluctuations for uniformly random lozenge tilings of simply connected polygonal domains with $3d$ sides whose directions cycle through the three lattice directions. More precisely, assuming that the liquid region is connected and that the boundary data do not force the height at any int...

Jiaoyang Huang · 0 citations

Preprint Sep 2026

Support of Dyson Brownian Motion

We consider beta-Dyson Brownian motion, with $\beta>= 1$, started from a deterministic configuration with uniformly bounded support. Let $\mu_t$ be the semicircular free-convolution flow issued from the initial empirical measure, and set $S_t = supp(\mu_t)$. For every fixed $T, \epsilon>0$, with probability at least $1...

Jiaoyang Huang, Sheng-Jing Xu · 0 citations