G. Alpan

activity

20142026

most citedOrthogonal polynomials for the weakly equilibrium Cantor sets

11 citations · 32 across the 14 of their papers we have counts for

collaborators

19 papers

math.CA2026

A four-way Szegő theorem for $L^{p}$ extremal polynomials on subsets of $R$

Gökalp Alpan, Maxim Zinchenko

We prove a four-way Szegő theorem for $L^{p}$ extremal polynomials on compact supports $K = K_{0} \cup X \subset R$ , where $K_{0}$ is a regular compact set and $X$ is a finite or coun…

math.CV2025

Unbounded Widom factors for orthogonal and residual polynomials

Gökalp Alpan

We study Widom factors for (a) monic orthogonal polynomials in $L^{2}$ with respect to the equilibrium measure of a compact set $K \subset R$ and (b) residual polynomials norm…

math.CV2025

Widom factors in $C^{n}$

Gökalp Alpan, Turgay Bayraktar, Norm Levenberg

We generalize the theory of Widom factors to the $C^{n}$ setting. We define Widom factors of compact subsets $K \subset C^{n}$ associated with multivariate orthogonal po…

math.CA2024

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

Gökalp Alpan, Maxim Zinchenko

We derive optimal asymptotic and non-asymptotic lower bounds on the Widom factors for weighted Chebyshev and orthogonal polynomials on compact subsets of the real line. In the Cheb…

math.PR2023

Multiplicative non-Hermitian perturbations of classical $β$ -ensembles

Gökalp Alpan, Rostyslav Kozhan

We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation $(I + i Γ) H$ , $rank Γ = 1$ of a random matrix $H$ from the Gaussian, Laguerr…

math.PR2021

Hermitian and non-Hermitian perturbations of chiral Gaussian $β$ -ensembles

Gökalp Alpan, Rostyslav Kozhan

We compute the joint eigenvalue distribution for the rank one Hermitian and non-Hermitian perturbations of chiral Gaussian $β$ -ensembles ( $β > 0$ ) of random matrices.

A four-way Szegő theorem for Lp extremal polynomials on subsets of R

Unbounded Widom factors for orthogonal and residual polynomials

Widom factors in Cn

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

Multiplicative non-Hermitian perturbations of classical β-ensembles

Hermitian and non-Hermitian perturbations of chiral Gaussian β-ensembles

A four-way Szegő theorem for $L^{p}$ extremal polynomials on subsets of $R$

Widom factors in $C^{n}$

Multiplicative non-Hermitian perturbations of classical $β$ -ensembles

Hermitian and non-Hermitian perturbations of chiral Gaussian $β$ -ensembles