Zeros of Polynomials with Random Coefficients
Probability
2014-07-28 v1 Complex Variables
Abstract
Zeros of many ensembles of polynomials with random coefficients are asymptotically equidistributed near the unit circumference. We give quantitative estimates for such equidistribution in terms of the expected discrepancy and expected number of roots in various sets. This is done for polynomials with coefficients that may be dependent, and need not have identical distributions. We also study random polynomials spanned by various deterministic bases.
Cite
@article{arxiv.1407.6769,
title = {Zeros of Polynomials with Random Coefficients},
author = {Igor E. Pritsker and Aaron M. Yeager},
journal= {arXiv preprint arXiv:1407.6769},
year = {2014}
}
Comments
15 pages