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DC Field | Value | Language |
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dc.contributor.author | Akemann, G | - |
dc.contributor.author | Cicuta, GM | - |
dc.contributor.author | Molinari, L | - |
dc.contributor.author | Vernizzi, G | - |
dc.coverage.spatial | 8 | en |
dc.date.accessioned | 2007-01-10T13:38:55Z | - |
dc.date.available | 2007-01-10T13:38:55Z | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | Physical Review E, 59(2): 1489 - 1497, Feb 1999 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/499 | - |
dc.description.abstract | We consider a generalization of the fixed and bounded trace ensembles introduced by Bronk and Rosenzweig up to an arbitrary polynomial potential. In the large-N limit we prove that the two are equivalent and that their eigenvalue distribution coincides with that of the "canonical" ensemble with measure exp[-$n$Tr V(M)]. The mapping of the corresponding phase boundaries is illuminated in an explicit example. In the case of a Gaussian potential we are able to derive exact expressions for the one- and two-point correlator for finite $n$, having finite support. | en |
dc.format.extent | 173881 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | American Physical Society | en |
dc.title | Compact support probability distributions in random matrix theory | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevE.59.1489 | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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9809270.pdf | 169.81 kB | Adobe PDF | View/Open |
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