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arXiv · 2304.05844

Fixed-point statistics from spectral measures on tensor envelope categories

Arthur Forey·Javier Fresán·Emmanuel Kowalski
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Abstract

We prove some old and new convergence statements for fixed-points statistics using tensor envelope categories, such as the Deligne--Knop category of representations of the "symmetric group" $S_t$ for an indeterminate~$t$. We also discuss some arithmetic speculations related to Chebotarev's density theorem.

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BibTeXRIS

Arthur Forey, Javier Fresán, Emmanuel Kowalski. 2023-04-12. Fixed-point statistics from spectral measures on tensor envelope categories. https://arxiv.org/abs/2304.05844

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