3 citations · 11 across the 8 of their papers we have counts for
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Conformal Universality in Normal Matrix Ensembles
Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti
A remarkable property of Hermitian ensembles is their universal behavior, that is, once properly rescaled the eigenvalue statistics does not depend on particularities of the ensemb…
Conformal Deformation from Normal to Hermitian Random Matrix Ensembles
Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti
We investigate the eigenvalues statistics of ensembles of normal random matrices when their order N tends to infinite. In the model the eigenvalues have uniform density within a re…
Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
We show that the Hausdorff dimension of the spectral measure of a class of deterministic, i. e. nonrandom, block-Jacobi matrices may be determined exactly, improving a result of Zl…