6 citations · 9 across the 6 of their papers we have counts for
7 papers
Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials
Andrei Martínez-Finkelshtein, Ramón Orive, Joaquín Sánchez-Lara
For a given polynomial with simple zeros, and a given semiclassical weight , we present a construction that yields a linear second-order differential equation (ODE), and in…
Riesz energy problems with external fields and related theory
Peter Dragnev, Ramon Orive, Edward B. Saff +1
In this paper, we investigate Riesz energy problems on unbounded conductors in in the presence of general external fields , not necessarily satisfying the growth conditio…
On point-mass Riesz external fields on the real axis
David Benko, Peter Dragnev, Ramon Orive
The purpose of this work is twofold. First, we aim to extend for the results of one of the authors about equilibrium measures in the real axis in external fields created by…
Equilibrium measures in the presence of weak rational external fields
Ramon Orive, Joaquin F. Sanchez Lara
In this paper equilibrium measures in the presence of external fields created by fixed charges are analyzed. These external fields are a particular case of the so-called rational e…
Equilibrium measures in the presence of certain rational external fields
Ramón Orive, Joaquín Sánchez Lara
Equilibrium measures in the real axis in the presence of rational external fields are considered. These external fields are called rational since their derivatives are rational fun…
Phase transitions and equilibrium measures in random matrix models
A. Martinez-Finkelshtein, R. Orive, E. A. Rakhmanov
The paper is devoted to a study of phase transitions in the Hermitian random matrix models with a polynomial potential. In an alternative equivalent language, we study families of…