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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.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…