Erwin Mina-D'iaz

activity

20242026

collaborators

3 papers

math.CA2026

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

Abey LÃ³pez-GarcÃa, Erwin MiÃ±a-DÃaz

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 MiÃ±a-DÃaz, Olof Rubin, Aron Wennman

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

math.CA2024

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

Abey LÃ³pez-GarcÃa, Erwin MiÃ±a-DÃaz

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…