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DC Field | Value | Language |
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dc.contributor.author | Kanzieper, E | - |
dc.contributor.author | Akemann, G | - |
dc.coverage.spatial | 5 | en |
dc.date.accessioned | 2006-12-20T15:32:45Z | - |
dc.date.available | 2006-12-20T15:32:45Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Physical Review Letters 95, Article no: 230201, Nov 2005 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/448 | - |
dc.description.abstract | The integrable structure of Ginibre's orthogonal ensemble of random matrices is looked at through the prism of the probability pn,k to find exactly k real eigenvalues in the spectrum of an n×n real asymmetric Gaussian random matrix. The exact solution for the probability function pn,k is presented, and its remarkable connection to the theory of symmetric functions is revealed. An extension of the Dyson integration theorem is a key ingredient of the theory presented. | en |
dc.format.extent | 164293 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | The American Physical Society | en |
dc.subject | Mathematical physics | en |
dc.subject | Disordered systems and neural networks | en |
dc.subject | Exactly solvable and integrable systems | en |
dc.title | Statistics of real eigenvalues in Ginibre's Ensemble of random real matrices | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevLett.95.230201 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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Statistics of Real.pdf | 160.44 kB | Adobe PDF | View/Open |
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