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math.SP2016
Asymptotic properties of Jacobi matrices for a family of fractal measures
Gökalp Alpan, Alexander Goncharov, Ahmet Nihat Şimşek
We study the properties and asymptotics of the Jacobi matrices associated with equilibrium measures of the weakly equilibrium Cantor sets. These family of Cantor sets were defined…
math.SP2015★ 6 cited
Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings
Gökalp Alpan
Let be a probability measure with an infinite compact support on . Let us further assume that is a sequence of orthogonal polynomials for w…
math.SP2015★ 11 cited
Orthogonal polynomials for the weakly equilibrium Cantor sets
Gokalp Alpan, Alexander Goncharov
Let be the weakly equilibrium Cantor type set introduced in [10]. It is proven that the monic orthogonal polynomials with respect to the equilibrium measure of $K(…