3 citations · 5 across the 7 of their papers we have counts for
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An approach to universality using Weyl m-functions
Benjamin Eichinger, Milivoje Lukić, Brian Simanek
We describe an approach to universality limits for orthogonal polynomials on the real line which is completely local and uses only the boundary behavior of the Weyl m-function at t…
On foci of ellipses inscribed in cyclic polygons
Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe +1
Given a natural number and two points and in the unit disk in the complex plane, it is known that there exists a unique elliptical disk having and…
Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials
Brian Simanek
We consider the zeros of exceptional orthogonal polynomials (XOP). Exceptional orthogonal polynomials were originally discovered as eigenfunctions of second order differential oper…
Asymptotics for polynomials orthogonal in an indefinite metric
Maxim Derevyagin, Brian Simanek
We continue studying polynomials generated by the Szegő recursion when a finite number of Verblunsky coefficients lie outside the closed unit disk. We prove some asymptotic results…
Extremal Polarization Configurations for Integrable Kernels
Brian Simanek
Our main result shows that if a lower-semicontinuous kernel K satisfies some mild additional hypotheses, then asympotitically polarization optimal configurations are precisely thos…