graduation at Matemática from Universidade Federal Fluminense (2019). Has experience in Mathematics, focusing on Complex Analysis. (Source: Lattes Curriculum)
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The characterization of zeros of Laguerre polynomials in terms of minimal energy equilibrium problems is a quite classical result, dating back to the works of Stieltjes. In the mid-late 20th century, this type of characterization of zeroes of orthogonal polynomials on the positive real axis has been extended to a much larger class of orthogonal polynomials other than the Laguerre ones. Ho…
The interplay between orthogonal polynomials and the spectral theory of Jacobi operators can be considered as a classical, and yet very active nowadays, topic of research. Relatively more recent are the advances made in random matrix theory due greatly to the found connection with orthogonal polynomials. This M.D. proposal aims at studying these connections, and then combining the three t…
Padé approximants on the complex plane are generalizations of Taylor Polynomials with countless applications on approximation theory, signal processing, mathematical physics, point processes, among many others. Many results concerning the rate of convergence of such approximants are classical in the literature, and for almost every one of there is the need of understanding an underlying e…
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