Generalized golden ratios of ternary alphabets

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dc.creatorKomornik, Vilmos
dc.creatorLai, Anna Chiara
dc.creatorPedicini, Marco
dc.date2009-01-08
dc.date.accessioned2026-07-07T12:27:40Z
dc.date.available2026-07-07T12:27:40Z
dc.descriptionExpansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter alphabets the golden ratio plays a special role: in smaller bases only trivial expansions are unique, whereas in greater bases there exist nontrivial unique expansions. In this paper we determine the corresponding critical bases for all three-letter alphabets and we establish the fractal nature of these bases in function of the alphabets.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0901.1114
dc.identifierhttp://arxiv.org/abs/0901.1114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215286
dc.subjectNumber Theory
dc.subject11A63; 11B83
dc.titleGeneralized golden ratios of ternary alphabets
dc.typetext

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