Zero Distribution of Random Sparse Polynomials

被引:23
|
作者
Bayraktar, Turgay [1 ,2 ]
机构
[1] Syracuse Univ, Math Dept, Syracuse, NY 13244 USA
[2] Sabanci Univ, Fac Engn & Nat Sci, Istanbul, Turkey
关键词
INTERSECTION THEORY; EQUIDISTRIBUTION; GEOMETRY; CURRENTS;
D O I
10.1307/mmj/1490639822
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:389 / 419
页数:31
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