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math.CA2017
Zeros of real random polynomials spanned by OPUC
Maxim L. Yattselev, Aaron Yeager
Let \( \{φ_i\}_{i=0}^\infty \) be a sequence of orthonormal polynomials on the unit circle with respect to a probability measure \( μ\). We study zero distribution of random linear…
math.CA2017
Symmetric Contours and Convergent Interpolation
Maxim L. Yattselev
The essence of Stahl-Gonchar-Rakhmanov theory of symmetric contours as applied to the multipoint Padé approximants is the fact that given a germ of an algebraic function and a sequ…