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Microcanonical multifractal formalism - a geometrical approach to multifractal systems: Part I. Singularity analysis

AutorTuriel, Antonio ; Yahia, Hussein; Pérez-Vicente, Conrad J.
Palabras claveFractals in fluid dynamics
Systems obeying scaling laws
Computational methods in fluid dynamics
Fecha de publicación11-ene-2008
EditorInstitute of Physics Publishing
CitaciónJournal of Physics A: Mathematical and General 41(1): 015501 (2008)
ResumenMultifractal formalism in the microcanonical framework has proved to be a valuable approach to understand and analyze complex signals, typically associated with natural phenomena in scale invariant systems. In this paper, we discuss the multifractal microcanonical formalism in a comprehensive, unified way, including new theoretical proofs and validation tests on real signals, so completing some known gaps in the foundations of this theory. We also review the latest advances and describe the present perspectives in this field. Some technical details on the implementation of involved algorithms and relevant open issues are also discussed
Descripción35 pages, 11 figures, 1 appendix
Versión del editorhttp://dx.doi.org/10.1088/1751-8113/41/1/015501
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