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| Hlavní autor: | |
|---|---|
| Médium: | Recurso digital |
| Jazyk: | angličtina |
| Vydáno: |
Zenodo
2026
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.18926528 |
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- <p>We investigate spectral properties of a family of finite-dimensional <br>pseudo-Hermitian operators constructed on hierarchical fractal graphs. <br>Numerical analysis reveals systematic convergence of the spectrum to <br>the critical line ℜ(s) = 1/2 as the system dimension increases, <br>with machine-precision agreement observed for systems of order 10^4 vertices. <br>The limiting spectral statistics agree with predictions of random matrix <br>theory for the Gaussian Symplectic Ensemble. Connections to the <br>Hilbert-Polya conjecture and quantum chaos are discussed.</p>