10 citations · 48 across the 23 of their papers we have counts for
5 papers · 1 filter
Large gaps of CUE and GUE
Renjie Feng, Dongyi Wei
In this article, we study the largest gaps of the classical random matrices of CUE and GUE, and show that after rescaling, the limiting densities are given by the Gumbel distributi…
Spectrum of SYK model II: Central limit theorem
Renjie Feng, Gang Tian, Dongyi Wei
In our previous paper \cite{FTD1}, we derived the almost sure convergence of the global density of eigenvalues of random matrices of the SYK model. In this paper, we will prove the…
Spectrum of SYK model III: Large deviations and concentration of measures
Renjie Feng, Gang Tian, Dongyi Wei
In \cite{FTD1}, we proved the almost sure convergence of eigenvalues of the SYK model, which can be viewed as a type of \emph{law of large numbers} in probability theory; in \cite{…
Small gaps of circular -ensemble
Renjie Feng, Dongyi Wei
In this article, we study the smallest gaps of the log-gas -ensemble on the unit circle (CE), where is any positive integer. The main result is that the smallest gaps, af…
Spectrum of SYK model
Renjie Feng, Gang Tian, Dongyi Wei
This is the first part of a series of papers on the spectrum of the SYK model, which is a simple model of the black hole in physics literature. In this paper, we will give a rigoro…