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arXiv · 1208.2632

A multifractal zeta function for cookie cutter sets

Simon Baker
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Abstract

Starting with the work of Lapidus and van Frankenhuysen a number of papers have introduced zeta functions as a way of capturing multifractal information. In this paper we propose a new multifractal zeta function and show that under certain conditions the abscissa of convergence yields the Hausdorff multifractal spectrum for a class of measures.

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Simon Baker. 2012-08-13. A multifractal zeta function for cookie cutter sets. https://doi.org/10.1088/0951-7715%2F26%2F4%2F1125

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