Research output: Contribution to journal › Article › peer-review

Journal | Compositio Mathematica |
---|---|

Date | Published - May 2008 |

Issue number | 3 |

Volume | 144 |

Number of pages | 13 |

Pages (from-to) | 734-746 |

Original language | English |

In this paper we deduce a universal result about the asymptotic distribution of roots of random polynomials, which can be seen as a complement to an old and famous result of Erdos and Turan. More precisely, given a sequence of random polynomials, we show that, under some very general conditions, the roots tend to cluster near the unit circle, and their angles are uniformly distributed. The method we use is deterministic: in particular, we do not assume independence or equidistribution of the coefficients of the polynomial.

- random polynomials, roots, uniform clustering

Find related publications, people, projects, datasets and more using interactive charts.