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Pré-Publication, Document De Travail Année : 2015

Large deviations for the empirical measure of random polynomials: revisit of the Zeitouni-Zelditch theorem.

Résumé

This article revisits the work by Ofer Zeitouni and Steve Zelditch on large deviations for the empirical measures of random orthogonal polynomials with i.i.d. Gaussian complex coefficients, and extends this result to real Gaussian coefficients. This article does not require any knowledge in geometry. For clarity, we focus on two classical cases: Kac polynomials and elliptic polynomials.
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Dates et versions

hal-01206806 , version 1 (29-09-2015)
hal-01206806 , version 2 (30-09-2015)

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  • HAL Id : hal-01206806 , version 1

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Raphael Butez. Large deviations for the empirical measure of random polynomials: revisit of the Zeitouni-Zelditch theorem.. 2015. ⟨hal-01206806v1⟩
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