Analytical calculation of τ(q) for multifractals

Autor: J L del Río Correa, J López García, Y A Álvarez Ballesteros
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