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math.PR2024
Deformations of biorthogonal ensembles and universality
Tom Claeys, Guilherme L. F. Silva
We consider a large class of deformations of continuous and discrete biorthogonal ensembles and investigate their behavior in the limit of a large number of particles. We provide s…
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…