Large deviations for zeros of random polynomials with iid exponential coefficients
S Ghosh, O Zeitouni - International Mathematics Research …, 2016 - academic.oup.com
International Mathematics Research Notices, 2016•academic.oup.com
… We derive a large deviation principle for the empirical measure of zeros of the random
polynomial |$P_n(z)=\sum _{j=0}^n \xi _j z^j$|, where the coefficients |$\{\xi _j\}_{j\geq 0}$|
form an iid sequence of exponential random variables. … We are interested in the large
deviations for the empirical measure |$L_n$|. In the case of Gaussian … Our goal in this
paper is to exhibit a new class of coefficients, for which a large deviation principle for the
empirical measure can be proved, namely the class of iid exponential coefficients, which for …
polynomial |$P_n(z)=\sum _{j=0}^n \xi _j z^j$|, where the coefficients |$\{\xi _j\}_{j\geq 0}$|
form an iid sequence of exponential random variables. … We are interested in the large
deviations for the empirical measure |$L_n$|. In the case of Gaussian … Our goal in this
paper is to exhibit a new class of coefficients, for which a large deviation principle for the
empirical measure can be proved, namely the class of iid exponential coefficients, which for …
Abstract
We derive a large deviation principle for the empirical measure of zeros of the random polynomial , where the coefficients form an i.i.d. sequence of exponential random variables.
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