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

Yanqi Qiu

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arXiv · 1602.08234

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

Yanqi Qiu

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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.

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Yanqi Qiu. 2016-02-26. Truncation of Haar random matrices in $\mathrm{GL}_N(\mathbb{Z}_m)$. https://arxiv.org/abs/1602.08234

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