A Mixed Generalized Multifractal Formalism For Vector Valued Measures
Anouar Ben Mabrouk
TL;DR
This paper introduces a new mixed generalized multifractal formalism for vector-valued measures, extending previous models based on Hausdorff and packing measures, with proofs of validity in specific cases.
Contribution
It presents a novel multifractal formalism for vector measures, expanding the theoretical framework beyond prior models.
Findings
Formalism extends existing multifractal models
Validity proven in specific cases
Enhances understanding of vector measure complexity
Abstract
We introduce a mixed generalized multifractal formalism which extends the mixed multifractal formalism introduced by L. Olsen based on generalizations of the Hausdorff and packing measures. The validity of such a formalism is proved in some special cases.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Complex Systems and Time Series Analysis · Advanced Mathematical Theories and Applications