Small gaps of GSE
Probability
2024-09-06 v1
Abstract
In this paper, we study the smallest gaps for the Gaussian symplectic ensemble (GSE). We prove that the rescaled smallest gaps and their locations converge to a Poisson point process with an explicit rate. The approach provides an alternative proof for the GOE case and complements the results in \cite{FTW}. By combining the main results from \cite{BB, FTW, FW2}, the study of the smallest gaps for the classical random matrix ensembles CE and GE for and is now complete.
Keywords
Cite
@article{arxiv.2409.03324,
title = {Small gaps of GSE},
author = {Renjie Feng and Jiaming Li and Dong Yao},
journal= {arXiv preprint arXiv:2409.03324},
year = {2024}
}