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• W2981714809 abstract "The dimension spectrum of a conformal iterated function system (CIFS) is the set of all Hausdorff dimensions of its various subsystem limit sets. This brief note provides two constructions -- (i) a compact perfect set that cannot be realized as the dimension spectrum of a CIFS; and (ii) a similarity IFS whose dimension spectrum has zero Hausdorff dimension, and thus is not uniformly perfect -- which resolve questions posed by Chousionis, Leykekhman, and Urba'nski, and go on provoke fresh conjectures and questions regarding the topological and metric properties of IFS dimension spectra." @default.
• W2981714809 created "2019-11-01" @default.
• W2981714809 creator A5023366405 @default.
• W2981714809 creator A5090428395 @default.
• W2981714809 date "2019-10-22" @default.
• W2981714809 modified "2023-09-27" @default.
• W2981714809 title "On the dimension spectra of infinite iterated function systems" @default.
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• W2981714809 hasPublicationYear "2019" @default.
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