Large Deviations for Zeros of Random Polynomials with i.i.d. Exponential Coefficients

Subhroshekhar Ghosh, Ofer Zeitouni

Type: Article

Publication Date: 2015-06-18

Citations: 10

DOI: https://doi.org/10.1093/imrn/rnv174

Abstract

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 i.i.d. sequence of exponential random variables.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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