A countdown process, with application to the rank of random matrices over $\mathbb F_q(n)$

Richard Arratia; Michael Earnest

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arXiv · 1605.04352

A countdown process, with application to the rank of random matrices over $\mathbb F_q(n)$

Richard Arratia·Michael Earnest

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Abstract

Motivated by the work of Fulman and Goldstein, comparing the distribution of the corank of random matrices in $\mathbb F_q[n]$ with the limit distribution as $n \to \infty$, we define a countdown process, driven by independent geometric random variables related to random integer partitions. Analysis of this process leads to sharper bounds on the total variation distance.

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Richard Arratia, Michael Earnest. 2016-05-20. A countdown process, with application to the rank of random matrices over $\mathbb F_q(n)$. https://arxiv.org/abs/1605.04352

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