Open Access
2016 Truncation of Haar random matrices in $\mathrm{GL}_N(\mathbb{Z}_m)$
Yanqi Qiu
Electron. Commun. Probab. 21: 1-6 (2016). DOI: 10.1214/16-ECP7


The asymptotic law of the truncated $S\times S$ random submatrix of a Haar random matrix in $\mathrm{GL}_N(\mathbb{Z}_m)$ as $N$ goes to infinity is obtained. The same result is also obtained when $\mathbb{Z}_m$ is replaced by any commutative compact local ring whose maximal ideal is topologically closed.


Download Citation

Yanqi Qiu. "Truncation of Haar random matrices in $\mathrm{GL}_N(\mathbb{Z}_m)$." Electron. Commun. Probab. 21 1 - 6, 2016.


Received: 26 February 2016; Accepted: 23 June 2016; Published: 2016
First available in Project Euclid: 1 July 2016

zbMATH: 1385.60010
MathSciNet: MR3522595
Digital Object Identifier: 10.1214/16-ECP7

Primary: 60B20
Secondary: 15B33 , 60B10

Keywords: asymptotic law , commutative compact local ring , invertible matrix , Random matrix , truncation

Back to Top