Title :

Fixed-point statistics from spectral measures on tensor envelope categories

Author(s) :

Forey, Arthur [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Fresán, Javier [Auteur]
Centre de Mathématiques Laurent Schwartz [CMLS]
Kowalski, Emmanuel [Auteur]
Department of Mathematics [ETH Zurich] [D-MATH]

Publication date :

2023-04-12

English keyword(s) :

Spectral measure
moment problem
tensor category
tensor envelope
fixed-point statistics
random permutations
problème des rencontres
Cebotarev’s density theorem

HAL domain(s) :

Mathématiques [math]/Théorie des nombres [math.NT]
Mathématiques [math]/Probabilités [math.PR]

English abstract : [en]

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~$t$. ...
Show more >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.Show less >

Language :

Anglais

Comment :

14 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL