Rectangular random matrices. Related convolution

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dc.creatorBenaych-Georges, Florent
dc.date2005-07-16
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:26Z
dc.date.available2026-07-07T09:24:26Z
dc.descriptionWe characterize asymptotic collective behaviour of rectangular random matrices, the sizes of which tend to infinity at different rates: when embedded in a space of larger square matrices, independent rectangular random matrices are asymtotically free with amalgamation over a subalgebra. Therefore we can define a "rectangular free convolution", linearized by cumulants and by an analytic integral transform, called the "rectangular R-transform".
dc.description36 pages, to appear in PTRF
dc.identifierhttps://arxiv.org/abs/math/0507336
dc.identifierhttp://arxiv.org/abs/math/0507336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156092
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject15A52;46L54;60E10
dc.titleRectangular random matrices. Related convolution
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