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Extreme value statistics for the roots of a complex Kac polynomial. (arXiv:1706.07516v1 [math.PR])
来源于:arXiv
We investigate the fluctuations and large deviations of the root of largest
modulus in a model of random polynomial with independent complex Gaussian
coefficients (Kac polynomials). The fluctuations were recently computed by R.
Butez (arxiv 1704.02761) and involve a Fredholm determinant. The precise large
deviations show a particular function defined by a series of mutiple integrals
in the same vein. 查看全文>>