The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Eigenvalue Statistics of the Real Ginibre Ensemble
Open accessAbstract
The real Ginibre ensemble consists of random N x N matrices formed from independent and identically distributed standard Gaussian entries. By using the method of skew orthogonal polynomials, the general n-point correlations for the real eigenvalues, and for the complex eigenvalues, are given as n x n Pfaffians with explicit entries. A computationally tractable formula for the cumulative probability density of the largest real eigenvalue is presented. This is relevant to May's stability analysis of biological webs.
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Citations
Cites
Will a Large Complex System be Stable?
MAY, R. M. (1972) · Nature · doi:10.1038/238413a0 · Cited by 2,869
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
Cited by
Physical approach to complex systems
Kwapień, J., & Drożdż, S. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.01.007 · Cited by 517
Metadata
- Authors
- Forrester, P. J., & Nagao, T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-08-03
- Volume
- 99
- Issue
- 5
- Pages
- 050603-050603
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2005031553
- Cited by
- 162
- References
- 2
- FWCI
- 8.71
- Type
- journal article
- Language
- en
- Open access
- green
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- Forrester, P. J., & Nagao, T. (2007). Eigenvalue Statistics of the Real Ginibre Ensemble. Physical Review Letters. https://doi.org/10.1103/physrevlett.99.050603
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