Wishart and Anti-Wishart random matrices

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dc.creatorJanik, Romuald A.
dc.creatorNowak, Maciej A.
dc.date2001-12-10
dc.date2002-10-16
dc.date.accessioned2026-07-07T10:54:12Z
dc.date.available2026-07-07T10:54:12Z
dc.descriptionWe provide a compact exact representation for the distribution of the matrix elements of the Wishart-type random matrices $A^\dagger A$, for any finite number of rows and columns of $A$, without any large N approximations. In particular we treat the case when the Wishart-type random matrix contains redundant, non-random information, which is a new result. This representation is of interest for a procedure of reconstructing the redundant information hidden in Wishart matrices, with potential applications to numerous models based on biological, social and artificial intelligence networks.
dc.description11 pages; v2: references updated + some clarifications added; v3: version to appear in J. Phys. A, Special Issue on Random Matrix Theory
dc.identifierhttps://arxiv.org/abs/math-ph/0112017
dc.identifierhttp://arxiv.org/abs/math-ph/0112017
dc.identifierJ.Phys.A36:3629-3638,2003
dc.identifierdoi:10.1088/0305-4470/36/12/343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185732
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectChaotic Dynamics
dc.titleWishart and Anti-Wishart random matrices
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