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Asymptotics of Orthogonal Polynomials with Respect to Varying Complex Weights

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Abstract: Motivated by the numerical approximation of highly oscillatory integrals, we consider asymptotics of orthogonal polynomials with respect to varying complex weights. The zeros of these polynomials accumulate along various arcs in the complex plane, and the study of the asymptotic zero distribution of these polynomials relies on many interesting areas of mathematics, including complex analysis, logarithmic potential theory, and harmonic analysis.

This talk is part of the Cambridge Analysts' Knowledge Exchange (C.A.K.E.) series.

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