For certain ensembles of random polynomials we give the expected value of the zero distribution (in one variable) and the expected value of the distribution of common zeros of m polynomials (in m variables).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-3,
author = {Thomas Bloom},
title = {Random polynomials and (pluri)potential theory},
journal = {Annales Polonici Mathematici},
volume = {92},
year = {2007},
pages = {131-141},
zbl = {1125.30002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-3}
}
Thomas Bloom. Random polynomials and (pluri)potential theory. Annales Polonici Mathematici, Tome 92 (2007) pp. 131-141. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-3/