Dixmier traces and coarse multifractal analysis

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dc.creatorFalconer, K. J.
dc.creatorSamuel, A.
dc.date2009-05-19
dc.date.accessioned2026-07-07T13:16:26Z
dc.date.available2026-07-07T13:16:26Z
dc.descriptionWe show how multifractal properties of a measure supported by a fractal F contained in [0,1] may be expressed in terms of complementary intervals of F and thus in terms of spectral triples and the Dixmier trace of certain operators. For self-similar measures this leads to a noncommutative integral over $F$ equivalent to integration with respect to an auxilary multifractal measure.
dc.identifierhttps://arxiv.org/abs/0905.3052
dc.identifierhttp://arxiv.org/abs/0905.3052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230792
dc.subjectClassical Analysis and ODEs
dc.subject28A80; 46L51
dc.titleDixmier traces and coarse multifractal analysis
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