Erwin Mina-D'iaz

activity

20232026

collaborators

4 papers

math.CA2026

Higher-order asymptotics for the energy of greedy sequences on the unit circle

Abey López-García, Erwin Miña-Díaz

For the Riesz and logarithmic energies, we consider a greedy sequence $(a_{n})_{n = 0}^{\infty}$ of points on the unit circle $S^{1}$ constructed in such a way that for every integer $N\ge…

math.CV2025

Norms of Chebyshev and Faber polynomials on curves with corners and cusps

Erwin Miña-Díaz, Olof Rubin, Aron Wennman

We prove that the $n$ th Chebyshev polynomial $T_{n}$ of a piecewise Dini-smooth Jordan curve $Γ$ satisfies \[ \lim_{n\to\infty}\frac{\|T_{n}\|_Γ}{\mathrm{cap}(Γ)^n}=1, \] where $\|…

math.CV2024

Asymptotics of Bergman polynomials for domains with reflection-invariant corners

Erwin Miña-Díaz, Aron Wennman

We study the asymptotic behavior of the Bergman orthogonal polynomials $(p_{n})_{n = 0}^{\infty}$ for a class of bounded simply connected domains $D$ . The class is defined by the requi…

math.CA2023

Asymptotics of the optimal values of potentials generated by greedy energy sequences on the unit circle

Abey López-García, Erwin Miña-Díaz

For the Riesz and logarithmic potentials, we consider greedy energy sequences $(a_{n})_{n = 0}^{\infty}$ on the unit circle $S^{1}$ , constructed in such a way that for every $n \geq 1$ , the…