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2017 Universal large deviations for Kac polynomials
Raphaël Butez, Ofer Zeitouni
Electron. Commun. Probab. 22: 1-10 (2017). DOI: 10.1214/16-ECP33

Abstract

We prove the universality of the large deviations principle for the empirical measures of zeros of random polynomials whose coefficients are i.i.d. random variables possessing a density with respect to the Lebesgue measure on $\mathbb{C} $, $\mathbb{R} $ or $\mathbb{R} ^+$, under the assumption that the density does not vanish too fast at zero and decays at least as $\exp -|x|^{\rho }$, $\rho >0$, at infinity.

Citation

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Raphaël Butez. Ofer Zeitouni. "Universal large deviations for Kac polynomials." Electron. Commun. Probab. 22 1 - 10, 2017. https://doi.org/10.1214/16-ECP33

Information

Received: 8 July 2016; Accepted: 28 November 2016; Published: 2017
First available in Project Euclid: 9 January 2017

zbMATH: 1357.60029
MathSciNet: MR3607801
Digital Object Identifier: 10.1214/16-ECP33

Subjects:
Primary: 60F10

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