Bayraktar, Turgay
(2017)
*Zero distribution of random sparse polynomials.*
Michigan Mathematical Journal, 66
(2).
pp. 389-419.
ISSN 0026-2285

Official URL: http://dx.doi.org/10.1307/mmj/1490639822

## Abstract

We study the asymptotic zero distribution of random Laurent polynomials whose supports are contained in dilates of a fixed integral polytope P as their degree grow. We consider a large class of probability distributions including those induced from i.i.d. random coefficients whose distribution law has bounded density with logarithmically decaying tails and moderate measures defined over the space of Laurent polynomials. We obtain a quantitative localized version of the Bernstein-Kouchnirenko theorem.

Item Type: | Article |
---|---|

Subjects: | Q Science > QA Mathematics > QA299.6-433 Analysis Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics |

Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |

Depositing User: | Turgay Bayraktar |

Date Deposited: | 19 Aug 2017 22:18 |

Last Modified: | 22 May 2019 13:52 |

URI: | https://research.sabanciuniv.edu/id/eprint/32444 |