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dc.contributor.authorTuriel, Antonio-
dc.contributor.authorYahia, Hussein-
dc.contributor.authorPérez-Vicente, Conrad J.-
dc.identifier.citationJournal of Physics A: Mathematical and General 41(1): 015501 (2008)en_US
dc.description35 pages, 11 figures, 1 appendixen_US
dc.description.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 discusseden_US
dc.description.sponsorshipThis work is a contribution to MERSEA (EU AIP3-CT-2003-502885) and OCEANTECH (CSIC PIF-2006) projects. A. Turiel is supported by a Ramón y Cajal contract from the Spanish Ministry of Education and Science. During this work, H Yahia was granted by INRIA for a 1 year stay at ICM. C J Pérez acknowledges support from MEC under contract FIS2006-13321-C02-01en_US
dc.format.extent131118 bytes-
dc.publisherInstitute of Physics Publishingen_US
dc.subjectFractals in fluid dynamicsen_US
dc.subjectSystems obeying scaling lawsen_US
dc.subjectComputational methods in fluid dynamicsen_US
dc.titleMicrocanonical multifractal formalism - a geometrical approach to multifractal systems: Part I. Singularity analysisen_US
dc.description.peerreviewedPeer revieweden_US
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