69 citations · 455 across the 44 of their papers we have counts for
6 papers · 1 filter
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…
Pearcey universality at cusps of polygonal lozenge tiling
Jiaoyang Huang, Fan Yang, Lingfu Zhang
We study uniformly random lozenge tilings of general simply connected polygons. Under a technical assumption that is presumably generic with respect to polygon shapes, we show that…
Asymptotics of Generalized Bessel Functions and Weight Multiplicities via Large Deviations of Radial Dunkl Processes
Jiaoyang Huang, Colin McSwiggen
This paper studies the asymptotic behavior of several central objects in Dunkl theory as the dimension of the underlying space grows large. Our starting point is the observation th…
Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance
Yifan Chen, Daniel Zhengyu Huang, Jiaoyang Huang +2
Sampling a probability distribution with an unknown normalization constant is a fundamental problem in computational science and engineering. This task may be cast as an optimizati…