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arXiv · 1004.1623

Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling

Rowan Killip·Eric Ryckman
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Abstract

We calculate the autocorrelation function for the characteristic polynomial of a random matrix in the microscopic scaling regime. While results fitting this description have be proved before, we will cover all values of inverse temperature $β\in (0,\infty)$. The method also differs from prior work, relying on matrix models introduced by Killip and Nenciu.

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Rowan Killip, Eric Ryckman. 2010-04-09. Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling. https://arxiv.org/abs/1004.1623

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