Continuity of the asymptotics of expected zeros of fewnomials

Abstract

In "Random complex fewnomials, I," B. Shiffman and S. Zelditch determine the limiting formula as N goes to infinity of the (normalized) expected distribution of complex zeros of a system of k random n-nomials in m variables where the coefficients are taken from the SU(m+1) ensemble and the spectra are chosen uniformly at random. We recall their result and show the limiting formula is a (k,k)-form with continuous coefficients.