Eigenmodes of a Laplacian on Some Laakso Spaces

dc.creatorRomeo, Kevin
dc.creatorSteinhurst, Benjamin
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:09Z
dc.date.available2026-07-07T12:57:09Z
dc.descriptionWe analyze the spectrum of a self-adjoint operator on a Laakso space using the projective limit construction originally given by Barlow and Evans. We will use the hierarchical cell structure induced by the choice of approximating quantum graphs to calculate the spectrum with multiplicities. We also extend the method for using the hierarchical cell structure to more general projective limits beyond Laakso spaces.
dc.description16 pages, 8 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0903.4661
dc.identifierhttp://arxiv.org/abs/0903.4661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224831
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject34L40; 34L16; 54B30
dc.titleEigenmodes of a Laplacian on Some Laakso Spaces
dc.typetext

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