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arXiv · 1607.02392

Universal large deviations for Kac polynomials

Raphaël Butez·Ofer Zeitouni
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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 C, R or R + , under the assumption that the density does not vanish too fast at zero and decays at least as exp --|x| $\rho$ , $\rho$ \textgreater{} 0, at infinity.

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Raphaël Butez, Ofer Zeitouni. 2016-07-08. Universal large deviations for Kac polynomials. https://arxiv.org/abs/1607.02392

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