15 citations · 32 across the 14 of their papers we have counts for
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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 of points on the unit circle constructed in such a way that for every integer $N\ge…
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…
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 on the unit circle , constructed in such a way that for every , the…
Non-standard Green energy problems in the complex plane
Abey López-García, Alexander Tovbis
We consider several non-standard discrete and continuous Green energy problems in the complex plane and study the asymptotic relations between their solutions. In the discrete sett…
Asymptotics of the minimum values of Riesz and logarithmic potentials generated by greedy energy sequences on the unit circle
Abey López-García, Ryan E. McCleary
In this work we investigate greedy energy sequences on the unit circle for the logarithmic and Riesz potentials. By definition, if is a greedy -energy seq…
Asymptotics of greedy energy sequences on the unit circle and the sphere
Abey López-García, Ryan E. McCleary
For a parameter , we investigate greedy -energy sequences on the unit sphere , , satisfying the defining pro…
Nikishin systems on star-like sets: Ratio asymptotics of the associated multiple orthogonal polynomials, II
Abey López-García, Guillermo López Lagomasino
In this paper we continue the investigations initiated in \cite{LopLopstar} on ratio asymptotics of multiple orthogonal polynomials and functions of the second kind associated with…
Nikishin systems on star-like sets: Ratio asymptotics of the associated multiple orthogonal polynomials
Abey López-García, Guillermo López Lagomasino
We investigate the ratio asymptotic behavior of the sequence of multiple orthogonal polynomials associated with a Nikishin system of measures tha…
Nikishin systems on star-like sets: algebraic properties and weak asymptotics of the associated multiple orthogonal polynomials
Abey López-García, Erwin Miña-Díaz
Polynomials , that are multi-orthogonal with respect to a Nikishin system of compactly supported measures over the star-like set of rays $S_…
Asymptotics of the energy of sections of greedy energy sequences on the unit circle, and some conjectures for general sequences
Abey López-García, Douglas A. Wagner
In this paper we investigate the asymptotic behavior of the Riesz -energy of the first points of a greedy -energy sequence on the unit circle, for all values of in th…
The normal matrix model with a monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star
Arno B. J. Kuijlaars, Abey López-García
We investigate the asymptotic behavior of a family of multiple orthogonal polynomials that is naturally linked with the normal matrix model with a monomial potential of arbitrary d…