Ongoing Masters degree of FAPESP in Pure Mathematics in the Instituto de Ciências Matemáticas e de Computação da USP (2024-now) in São Carlos - SP. Bachelor in Computational Physics at the Instituto de Física de São Carlos (IFSC), on the São Carlos Campus of the Universidade de São Paulo (USP) (2020-2024). 'Bernhard Gross' awardee (2022) for the best academic performance in the course. Interested in computational methods in physics and mathematics and their intersections. (Source: Lattes Curriculum)
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The theory of Random Matrices finds its way in a diverse range of areas of Mathematics and Physics, and in particular to statistical mechanics. In the study of the spectra of eigenvalues of some random matrices ensembles, a physical analogy regarding thermodynamical systems becomes evident and the use of physical motivations in its study is of great importance. An example of such motivati…
The study of Random Matrices connects to a diverse range of areas, for instance to statistical mechanics and, of particular relevance for us, to the modeling of gases. By studying the spectral density of Gaussian-type random matrices, one can develop the simulation of Coulomb gas systems. Some difficulties arise in implementing simulations based on this theory, mainly in system scalabilit…
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