We show how multifractal properties of a measure supported by a fractal F⊆[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 non-commutative integral over F equivalent to integration with respect to an auxiliary multifractal measure
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, re...
This thesis explores the relationships between multifractal measures, multiplicative cascades and co...
We show how multifractal properties of a measure supported by a fractal F ⊆ [0, 1] may be expressed ...
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insi...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Two of the main objects of study in multifractal analysis of measures are the coarse multifractal sp...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
This is a survey on multifractal analysis with an emphasis on the multifractal geometry of geometric...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
f (α) dim (supp ( ))βM α(b)(a) Figure 1: (a) Construction of the binomial measure β. (b) The multifr...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Journal PaperThere are strong reasons to believe that the multifractal spectrum of DLA shows anomali...
This is a survey on multifractal analysis with an emphasis on the multifractal geometry of geometric...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, re...
This thesis explores the relationships between multifractal measures, multiplicative cascades and co...
We show how multifractal properties of a measure supported by a fractal F ⊆ [0, 1] may be expressed ...
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insi...
Self-similar measures form a fundamental class of fractal measures, and is much less understood if t...
Two of the main objects of study in multifractal analysis of measures are the coarse multifractal sp...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
This is a survey on multifractal analysis with an emphasis on the multifractal geometry of geometric...
Abstract. In this paper we construct measures supported in [0, 1] with prescribed mul-tifractal spec...
f (α) dim (supp ( ))βM α(b)(a) Figure 1: (a) Construction of the binomial measure β. (b) The multifr...
AbstractClassical multifractal analysis studies the local scaling behaviour of a single measure. How...
Journal PaperThere are strong reasons to believe that the multifractal spectrum of DLA shows anomali...
This is a survey on multifractal analysis with an emphasis on the multifractal geometry of geometric...
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain w...
AbstractThere are strong reasons to believe that the multifractal spectrum of DLA shows anomalies wh...
Classical multifractal analysis studies the local scaling behaviour of a single measure. However, re...
This thesis explores the relationships between multifractal measures, multiplicative cascades and co...
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