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Title

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

AuthorsTuriel, Antonio CSIC ORCID ; Yahia, Hussein; Pérez-Vicente, Conrad J.
KeywordsFractals in fluid dynamics
Systems obeying scaling laws
Computational methods in fluid dynamics
Issue Date11-Jan-2008
PublisherInstitute of Physics Publishing
CitationJournal of Physics A: Mathematical and General 41(1): 015501 (2008)
AbstractMultifractal 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
Description35 pages, 11 figures, 1 appendix
Publisher version (URL)https://doi.org/10.1088/1751-8113/41/1/015501
URIhttp://hdl.handle.net/10261/15503
DOI10.1088/1751-8113/41/1/015501
ISSN0305-4470
Appears in Collections:(ICM) Artículos

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