11 citations · 20 across the 8 of their papers we have counts for
10 papers
Pawłucki-Plésniak Extension Operator For Non-Markov Sets
Alexander Goncharov, Yaman Paksoy
We show that Pawlucki-Plésniak operator is bounded for some non-Markov sets.
The inverse spectral map for dimers
Terrence George, Alexander Goncharov, Richard Kenyon
In 2015, Vladimir Fock proved that the spectral transform, associating to an element of a dimer cluster integrable system its spectral data, is birational by constructing an invers…
Lebesgue Constants For Cantor Sets
Alexander Goncharov, Yaman Paksoy
We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This…
Some Open Problems Concerning Orthogonal Polynomials on Fractals and Related Questions
Gökalp Alpan, Alexander Goncharov
Some Open Problems Concerning Orthogonal Polynomials.
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…
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(…