Randomly twisted transfer operators and singular values statistics
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911708679766016 |
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| author | Naud, Frédéric |
| author_facet | Naud, Frédéric |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23530 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Randomly twisted transfer operators and singular values statistics Naud, Frédéric Spectral Theory Probability 37C30, 37D20 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. |
| title | Randomly twisted transfer operators and singular values statistics |
| topic | Spectral Theory Probability 37C30, 37D20 |
| url | https://arxiv.org/abs/2605.23530 |