A. L'opez-Garc'ia

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.CA2024

Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures

Abey López-García, Guillermo López Lagomasino

We study the relative asymptotics of two sequences of multiple orthogonal polynomials corresponding to two Nikishin systems of measures on the real line, the second one of which is…

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…

math.CO2023

Matrix continued fractions associated with lattice paths, resolvents of difference operators, and random polynomials

J. Kim, A. López-García, V. A. Prokhorov

We begin our analysis with the study of two collections of lattice paths in the plane, denoted $D_{[n, i, j]}$ and $P_{[n, i, j]}$ . These paths consist of sequences…