4 papers
Asymptotics of matrix orthogonal polynomials with non-scalar varying weights
Victor Alves
We study the matrix orthogonal polynomials on the real line with respect to the varying weights , where $\math…
Elliptic orthogonal polynomials and OPRL
Victor Alves, Andrei Martinez-Finkelshtein
We explore a class of meromorphic functions on elliptic curves, termed \emph{elliptic orthogonal a-polynomials} (-EOPs), which extend the classical notion of orthogonal polynomi…
Deformations of OP ensembles in a bulk critical scaling
Caio E. Candido, Victor Alves, Thomas Chouteau +2
We study orthogonal polynomial ensembles whose weights are deformations of exponential weights, in the limit of a large number of particles. The deformation symbols we consider aff…
The Pólya-Tchebotarev problem with semiclassical external fields
Victor Alves, Guilherme Silva
The classical Pólya-Tchebotarev problem, commonly stated as a max-min logarithmic energy problem, asks for finding a compact of minimal capacity in the complex plane which connects…