The mutual affinity of random measures

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dc.creatorFannes, M.
dc.creatorSpincemaille, P.
dc.date2001-12-17
dc.date.accessioned2026-07-07T04:28:49Z
dc.date.available2026-07-07T04:28:49Z
dc.descriptionWe consider a set of probability measures on a finite event space $Ω$. The mutual affinity is introduced in terms of the spectrum of the associated Gram matrix. We show that, for randomly chosen measures, the empirical eigenvalue distribution of the Gram matrix converges to a fixed distribution in the limit where the number of measures, together with the cardinality of $Ω$, goes to infinity.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0112034
dc.identifierhttp://arxiv.org/abs/math-ph/0112034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56937
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject28A33, 60G57, 60F10
dc.titleThe mutual affinity of random measures
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