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Showing 1 to 2 of 2 for “"Orthogonal polynomials on the unit circle."”.
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Poncelet polygons through the lenses of orthogonal polynomials on the unit circle, finite Blaschke products, and numerical ranges.
The topics in this thesis fall in the intersection of projective geometry, complex analysis, and linear algebra. Each of these three fields gives a canonical construc-tion of families of polygons inscribed in the unit circle with interlacing vertices. In projective geometry, we consider Poncelet …
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The density of complex zeros of random sums
… coefficients follow some probability distribution. The fundamental questions that need to be studied are the distribution and correlations between zeros, pairing between zeros and critical points, distribution values, and nodal surfaces. The computation of the average distribution of real zeros …