# Eigenvalue statistics for generalized symmetric and Hermitian matrices

@article{KumarDas2019EigenvalueSF,
title={Eigenvalue statistics for generalized symmetric and Hermitian matrices},
author={Adway Kumar Das and Anandamohan Ghosh},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2019},
volume={52}
}
• Published 3 June 2019
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
Random matrix theory predicts the level statistics of a Hamiltonian to exhibit either clustering or repulsion if the underlying dynamics is integrable or chaotic, respectively. In various physical systems it is also possible to observe intermediate spectral properties showing the transition between different symmetry classes. In this work, we study generalized random matrix ensembles by dropping the constraint of canonical invariance and considering different variances in the diagonal and off…
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