Computation of some examples of Brown's spectral measure in free probability

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dc.creatorBiane, Philippe
dc.creatorLehner, Franz
dc.date1999-12-31
dc.date.accessioned2026-07-07T05:32:34Z
dc.date.available2026-07-07T05:32:34Z
dc.descriptionWe use free probability techniques for computing spectra and Brown measures of some non hermitian operators in finite von Neumann algebras. Examples include u_n+u_oo where u_n and u_oo are the generators of Z_n and Z respectively, in the free product group Z_n*Z, or elliptic elements, of the form S_a+iS_b where S_a and S_b are free semi-circular elements of variance a and b. We give some pictorial evidence for connections with spectra of random matrices.
dc.descriptionLaTeX2e, 27 pages, 9 EPS figures
dc.identifierhttps://arxiv.org/abs/math/9912242
dc.identifierhttp://arxiv.org/abs/math/9912242
dc.identifierColloq. Math. 90 (2001), no. 2, 181--211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79703
dc.subjectOperator Algebras
dc.subjectSpectral Theory
dc.subject22D25; 46L5
dc.titleComputation of some examples of Brown's spectral measure in free probability
dc.typetext

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