Victor Alves

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20242026

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math.CA2026

Asymptotics of matrix orthogonal polynomials with non-scalar varying weights

Victor Alves

We study the $2 \times 2$ matrix orthogonal polynomials $P_{N}$ on the real line with respect to the varying weights $e^{- N Q (z)} B (z)$ , where $\math…

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} ( $a$ -EOPs), which extend the classical notion of orthogonal polynomi…

math.CA2024

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…