Continuity of the Asymptotics of Expected Zeros of Fewnomials

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• 作者：Timothy C. Tran
• 关键词：Polynomial systems ; Fewnomials ; Gaussian random ; Distribution of zeroes
• 刊名：The Journal of Geometric Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：27
• 期：1
• 页码：525-556
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Differential Geometry; Convex and Discrete Geometry; Fourier Analysis; Abstract Harmonic Analysis; Dynamical Systems and Ergodic Theory; Global Analysis and Analysis on Manifolds;
• 出版者：Springer US
• ISSN：1559-002X
• 卷排序：27

文摘

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.