Fixed-point statistics from spectral measures on tensor envelope categories

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 Chebotar...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: ey, Arthur, Fresán, Javier, Kowalski, Emmanuel
Format: Article
Language:English
Subjects:
Fixed point arithmetic
Fixed points (mathematics)
Mathematical analysis
Tensors
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422