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arXiv · 1210.4829

Critical values of Gaussian SU(2) random polynomials

Renjie Feng·Zhenan Wang
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Abstract

In this note, we will get the estimate of the expected distribution of critical values of Gaussian SU(2) random polynomials as the degree large enough. The result is a direct application of the Kac-Rice formula. The critical values will accumulate at infinity, we further study the rate of this convergence and its rescaling limit as $n\to\infty$.

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Renjie Feng, Zhenan Wang. 2012-10-17. Critical values of Gaussian SU(2) random polynomials. https://arxiv.org/abs/1210.4829

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