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Microcanonical multifractal formalism--a geometrical approach to multifractal systems: Part I. Singularity analysis
Abstract : Multifractal 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.
Cited literature [50 references]
https://hal.inria.fr/hal-00937370
Contributor : H. Yahia <>
Submitted on : Tuesday, January 28, 2014 - 11:47:04 AM
Last modification on : Saturday, December 26, 2020 - 1:46:04 PM
Long-term archiving on: : Tuesday, April 29, 2014 - 5:39:07 AM
Contributor : H. Yahia <>
Submitted on : Tuesday, January 28, 2014 - 11:47:04 AM
Last modification on : Saturday, December 26, 2020 - 1:46:04 PM
Long-term archiving on: : Tuesday, April 29, 2014 - 5:39:07 AM
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Turiel-part1-2008.pdf
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