Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules

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dc.creatorBaake, Michael
dc.creatorMoody, Robert V.
dc.date1998-09-04
dc.date.accessioned2026-07-07T04:32:31Z
dc.date.available2026-07-07T04:32:31Z
dc.descriptionThe problem of invariance and self-similarity in Z-modules is investigated. For a selection of examples relevant to quasicrystals, especially Fibonacci modules, we determine the semigroup of self-similarities and encapsulate the number of similarity submodules in terms of Dirichlet series generating functions.
dc.description7 pages; to appear in: Aperiodic 97, eds. M. de Boissieu, J. L. Verger-Gaugry and R. Currat, World Scientific, Singapore (1998), in press
dc.identifierhttps://arxiv.org/abs/math-ph/9809008
dc.identifierhttp://arxiv.org/abs/math-ph/9809008
dc.identifierAperiodic 97, eds. M. de Boissieu et al., World Scientific, Singapore (1998), pp. 21-27.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58218
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.titleInvariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules
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