Upper bounding for packing dimension in vectorial multifractal formalism
Ben Youssef Leila
TL;DR
This paper introduces a new upper bound for the packing dimension within the vectorial multifractal formalism, providing a potentially more precise estimate than previous methods by Peyriere.
Contribution
It presents a novel upper bounding technique for packing dimension in vectorial multifractal analysis that can be finer than existing bounds.
Findings
New upper bound for packing dimension established
Bound is sometimes more precise than Peyriere's
Advances understanding of multifractal formalism
Abstract
We establish an other upper bounding for packing dimension in the framework of the vectorial multifractal formalism that is in some cases finer than that established by J. Peyriere.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Complex Systems and Time Series Analysis · Advanced Topology and Set Theory