# Superposition and higher-order spacing ratios in random matrix theory with application to complex systems

@article{Bhosale2021SuperpositionAH,
title={Superposition and higher-order spacing ratios in random matrix theory with application to complex systems},
author={Udaysinh T. Bhosale},
journal={Physical Review B},
year={2021}
}
The joint distribution of every second eigenvalue obtained after superposing the spectra of two circular orthogonal ensembles ($\beta=1$) is known to be equal to that of the circular unitary ensemble ($\beta=2$), where the parameter $\beta$ is the Dyson index of the ensemble. Superposition of spectra of $m$ such circular orthogonal ensembles is studied numerically using higher-order spacing ratios. It is conjectured that the joint probability distribution of every $k=m-2$-th \$(m\geq4…
1 Citations

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