Jiaoyang Huang

activity

20132026

most citedBulk universality of sparse random matrices

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

collaborators

Showing 2017 · math.PRShow all

3 papers · 2 filters

math.PR2017★ 7 cited

Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs

Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau

We consider the statistics of the extreme eigenvalues of sparse random matrices, a class of random matrices that includes the normalized adjacency matrices of the Erdős-Rényi graph…

math.PR2017★ 1 cited

$β$ -Nonintersecting Poisson Random Walks: Law of Large Numbers and Central Limit Theorems

Jiaoyang Huang

We study the $β$ analogue of the nonintersecting Poisson random walks. We derive a stochastic differential equation of the Stieltjes transform of the empirical measure process, whi…

math.PR2017

Rigidity and Edge Universality of Discrete $β$ -Ensembles

Alice Guionnet, Jiaoyang Huang

We study discrete $β$ -ensembles as introduced in [17]. We obtain rigidity estimates on the particle locations, i.e. with high probability, the particles are close to their classica…

Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs

β-Nonintersecting Poisson Random Walks: Law of Large Numbers and Central Limit Theorems

Rigidity and Edge Universality of Discrete β-Ensembles

$β$ -Nonintersecting Poisson Random Walks: Law of Large Numbers and Central Limit Theorems

Rigidity and Edge Universality of Discrete $β$ -Ensembles