Analytical calculation of τ(q) for multifractals
Autor: | J L del Río Correa, J López García, Y A Álvarez Ballesteros |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Journal of Physics: Conference Series. 2307:012032 |
ISSN: | 1742-6596 1742-6588 |
DOI: | 10.1088/1742-6596/2307/1/012032 |
Popis: | To find the Hausdorff dimensional spectrum that characterizes a multifractal, it is required to find the mass function τ(q), which is implicitly defined by the Halsey equation, which in general can only be solved numerically, however there are particular cases in which it is possible to find analytically τ(q) as a parametrically defined function. In this paper we present and discuss the Piña’s method to find analytically τ(q), the Hausdorff dimension spectrum of the multifractal is found. |
Databáze: | OpenAIRE |
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