Randomly twisted transfer operators and singular values statistics
谱理论
2026-05-25 v1 概率论
摘要
In this paper, we investigate the singular values of a natural family of transfer operators twisted by large random permutation matrices. In the large N limit, we obtain a Weyl law for its singular values, valid asymptotically almost surely with rapid decay. We also extend the so-called polynomial method to an infinite dimensional setting which implies a "smooth" probabilistic Weyl law for singular values.
引用
@article{arxiv.2605.23530,
title = {Randomly twisted transfer operators and singular values statistics},
author = {Frédéric Naud},
journal= {arXiv preprint arXiv:2605.23530},
year = {2026}
}