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/