Dusa, Ioachim G. and Wettig, Tilo (2022) Approximation formula for complex spacing ratios in the Ginibre ensemble. PHYSICAL REVIEW E, 105 (4): 044144. ISSN 2470-0045, 2470-0053
Full text not available from this repository. (Request a copy)Abstract
Recently, S??, Ribeiro, and Prosen [Phys. Rev. X 10, 021019 (2020)] introduced complex spacing ratios to analyze eigenvalue correlations in non-Hermitian systems. At present there are no analytical results for the probability distribution of these ratios in the limit of large system size. We derive an approximation formula for the Ginibre universality class of random matrix theory which converges exponentially fast to the limit of infinite matrix size. We also give results for moments of the distribution in this limit.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RANDOM-MATRIX THEORY; SYMMETRY |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Feb 2024 07:10 |
| Last Modified: | 07 Feb 2024 07:10 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56591 |
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