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arXiv · 1209.3648

Local multifractal analysis in metric spaces

Antti Käenmäki·Tapio Rajala·Ville Suomala
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Abstract

We study the local dimensions and local multifractal properties of measures on doubling metric spaces. Our aim is twofold. On one hand, we show that there are plenty of multifractal type measures in all metric spaces which satisfy only mild regularity conditions. On the other hand, we consider a local spectrum that can be used to gain finer information on the local behaviour of measures than its global counterpart.

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Antti Käenmäki, Tapio Rajala, Ville Suomala. 2013-06-06. Local multifractal analysis in metric spaces. https://doi.org/10.1088/0951-7715%2F26%2F8%2F2157

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