7 citations · 59 across the 21 of their papers we have counts for
41 papers
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 sides whose directions cycle through the three la…
Support of Dyson Brownian Motion
Jiaoyang Huang, Shengjing Xu
We consider beta-Dyson Brownian motion, with , started from a deterministic configuration with uniformly bounded support. Let be the semicircular free-convolution flow…
Non-symmetric vector dyson equations
Jiaoyang Huang, Zhonggen Su, Ruizhe Xu
We study the vector Dyson equation with parameter in the complex upper half-plane , where $\mathbf{a}\in\mathbb…
Edge Rigidity of Dyson Brownian Motion with General Initial Data
Amol Aggarwal, Jiaoyang Huang
In this paper, we study the edge behavior of Dyson Brownian motion with general . Specifically, we consider the scenario where the averaged initial density near the edge, on the…
Strong Characterization for the Airy Line Ensemble
Amol Aggarwal, Jiaoyang Huang
In this paper we show that a Brownian Gibbsian line ensemble whose top curve approximates a parabola must be given by the parabolic Airy line ensemble. More specifically, we prove…
Edge Universality of Random Regular Graphs of Growing Degrees
Jiaoyang Huang, Horng-Tzer Yau
We consider the statistics of extreme eigenvalues of random -regular graphs, with for arbitrarily small . We p…