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> **Figure** Empirical spectral density for mixed ensemble at $\mu=0.8$, so called `Wigner's Cats` with error bars. (See the lecture.)
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> **Figure** Empirical spectral density for mixed ensemble at $\mu=0.8$, so called `Wigner's Cats` with error bars. (See the lecture.)
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> This is also known as `Wigner Cat Phases`, see [video](https://www.youtube.com/watch?v=hUih86O_uaw).
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> [suzen25](https://arxiv.org/abs/2512.22169).
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## Installation
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@@ -30,7 +32,7 @@ The package provides tools and utilities for randomness based research with `Hig
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library function is called.
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Having non-reproducible and unpredictable RNGs could improve Monte Carlo and similar randomness
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based computational science experimentations. Non-reproducible RNGs can still generate reproducible
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based computational science experimentation. Non-reproducible RNGs can still generate reproducible
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research. Critical components in this direction is Uncertainty Quantification (UQ). Leymosun
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implements bootstrapped based UQ and confidence interval generations.
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@@ -91,9 +93,20 @@ Papers, datasets and other material that used `leymosun`.
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## Citation
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We would be grateful for a citation of our paper(s) if you use `leymosun` or ideas from the package in your research. Initial introduction of mixed matrix ensembles and MMES algorithm with M-shaped (Wigner's Cat) density [suzen21]. The following is the bibtex entry
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We would be grateful for a citation of our paper(s) if you use `leymosun` or ideas from the package in your research. Initial introduction of mixed matrix ensembles and MMES algorithm with M-shaped (Wigner's Cat) density [suzen21, suzen25]. The following is the bibtex entry
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```
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@article{suzen25,
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title={Wigner Cat Phases: A finely tunable system for exploring the transition to quantum chaos},
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author={S{\"u}zen, M.},
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year={2025},
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eprint={2512.22169},
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archivePrefix={arXiv},
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primaryClass={quant-ph},
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url={https://arxiv.org/abs/2512.22169},
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}
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@article{suzen21,
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title={Empirical deviations of semicircle law in mixed-matrix ensembles},
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