Lanczos coefficient ensembles over random initial operators are shown to follow Wishart and rescaled chi-square statistics, with patterns that distinguish chaotic from integrable billiards.
Dyson,Statistical Theory of the Energy Levels of Complex Systems
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Statistical features of quantum chaos using the Krylov operator complexity
Lanczos coefficient ensembles over random initial operators are shown to follow Wishart and rescaled chi-square statistics, with patterns that distinguish chaotic from integrable billiards.