3 papers
math.CA2025
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…
math-ph2025
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…
math.CA2025
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 connect…