Critical values of Gaussian SU(2) random polynomials
Probability
2018-07-10 v3
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 .
Keywords
Cite
@article{arxiv.1210.4829,
title = {Critical values of Gaussian SU(2) random polynomials},
author = {Renjie Feng and Zhenan Wang},
journal= {arXiv preprint arXiv:1210.4829},
year = {2018}
}
Comments
the growth of critical values is further studied, the rescaling limit of the density is added, some typos are fixed, to appear in Proceeding of AMS