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arXiv · 2605.23530

Randomly twisted transfer operators and singular values statistics

Frédéric Naud
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Abstract

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.

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Frédéric Naud. 2026-05-22. Randomly twisted transfer operators and singular values statistics. https://arxiv.org/abs/2605.23530

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