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2016 Large deviations for the empirical measure of random polynomials: revisit of the Zeitouni-Zelditch theorem
Raphaël Butez
Electron. J. Probab. 21: 1-37 (2016). DOI: 10.1214/16-EJP5

Abstract

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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Raphaël Butez. "Large deviations for the empirical measure of random polynomials: revisit of the Zeitouni-Zelditch theorem." Electron. J. Probab. 21 1 - 37, 2016. https://doi.org/10.1214/16-EJP5

Information

Received: 15 February 2016; Accepted: 23 July 2016; Published: 2016
First available in Project Euclid: 7 December 2016

zbMATH: 1354.60026
MathSciNet: MR3592204
Digital Object Identifier: 10.1214/16-EJP5

Subjects:
Primary: 60F10

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