Continuity of the asymptotics of expected zeros of fewnomials

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Date
2014-03-20
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Johns Hopkins University
Abstract
In "Random complex fewnomials, I,'' the limiting formula of the (normalized) expected distribution of complex zeros of a system of $k$ random $m$-variate fewnomials where the coefficients are taken from the $\mathrm{SU}(m+1)$ ensemble and the spectra are chosen uniformly at random is determined. We recall this result and show the limiting formula is a $(k,k)$-form with continuous coefficients.
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Keywords
random polynomials, fewnomials
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