10 citations · 10 across the 3 of their papers we have counts for
7 papers
Zeros of repeated derivatives of random polynomials
Renjie Feng, Dong Yao
It has been shown that zeros of Kac polynomials of degree cluster asymptotically near the unit circle as under some assumptions. This property remains unc…
Small gaps of GOE
Renjie Feng, Gang Tian, Dongyi Wei
In this article, we study the smallest gaps of the Gaussian orthogonal ensemble. The main result is that the smallest gaps, after normalized by , will tend to a Poisson distribu…
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…
The global existence and convergence of the Calabi flow on
Renjie Feng, Hongnian Huang
In this note, we study the long time existence of the Calabi flow on . Assuming the uniform bound of the total energy, we establish t…