Truncation of Haar random matrices in ${\mathrm{GL}}_N({\mathbb{Z}}_m)$

Abstract

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.

7 pages

References in corpus (1)

• A few remarks on Colour-Flavour Transformations,truncations of random unitary matrices, Berezin reproducing kernels and Selberg type integrals

Cited by in corpus (1)

• Ergodic measures on infinite skew-symmetric matrices over non-Archimedean local fields