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 2018 · math.PRShow all

4 papers · 2 filters

math.PR2018

Dyson Brownian Motion for General $β$ and Potential at the Edge

Arka Adhikari, Jiaoyang Huang

In this paper, we compare the solutions of Dyson Brownian motion with general $β$ and potential $V$ and the associated McKean-Vlasov equation near the edge. Under suitable conditio…

math.PR2018★ 4 cited

Law of Large Numbers and Central Limit Theorems by Jack Generating Functions

Jiaoyang Huang

In a series of papers [22-24] by Bufetov and Gorin, Schur generating functions as the Fourier transforms on the unitary group $U (N)$ , are introduced to study the asymptotic behavio…

math.PR2018★ 15 cited

Invertibility of adjacency matrices for random $d$ -regular graphs

Jiaoyang Huang

Let $d \geq 3$ be a fixed integer and $A$ be the adjacency matrix of a random $d$ -regular directed or undirected graph on $n$ vertices. We show there exist constants $d > 0$ …

math.PR2018★ 7 cited

Invertibility of adjacency matrices for random d-regular directed graphs

Jiaoyang Huang

Let $d \geq 3$ be a fixed integer, and a prime number $p$ such that $g cd (p, d) = 1$ . Let $A$ be the adjacency matrix of a random $d$ -regular directed graph on $n$ vertices. We show th…

Dyson Brownian Motion for General β and Potential at the Edge

Law of Large Numbers and Central Limit Theorems by Jack Generating Functions

Invertibility of adjacency matrices for random d-regular graphs

Invertibility of adjacency matrices for random d-regular directed graphs

Dyson Brownian Motion for General $β$ and Potential at the Edge

Invertibility of adjacency matrices for random $d$ -regular graphs