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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Física de Materiais from Universidade Federal de Uberlândia (2019) and master's at Mathematics from Universidade de São Paulo (2022). (Source: Lattes Curriculum)
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Several local statistics of interacting particle systems can be predicted by the behaviour of eigenvalues of large random matrices. These eigenvalues form, in turn, a determinantal point process, and their statistical behaviour when the size of the matrix grows is governed by the asymptotic behaviour of their correlation kernel. On the other hand, such kernels are asymptotically described…
One of the central objects in Statistical Mechanics is the partition function of a given model, from which one can infer phase transitions and compute a diversity of different statistics on the model. As such, the partition function also plays a central role in the theory of random matrices. On an apparent distinct world, integrable systems are a very distinguished class of differential s…
Eigenvalues in unitary invariant random matrix ensembles are fascinating objects. Due to the symmetry of the model, the eigenvalues form a determinantal point process, and the most relevant statistics for them are encoded by a reproducing kernel in a very elegant way. However, the original kernel is not the only quantity of interest originated in such context. Applying a conditional thinn…
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