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.
Complete list of metadatas

Cited literature [50 references]  Display  Hide  Download

https://hal.inria.fr/hal-00937370
Contributor : H. Yahia <>
Submitted on : Tuesday, January 28, 2014 - 11:47:04 AM
Last modification on : Wednesday, November 14, 2018 - 1:54:07 PM
Long-term archiving on: Tuesday, April 29, 2014 - 5:39:07 AM

File

Turiel-part1-2008.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Antonio Turiel, Hussein Yahia, Conrad Perez-Vicente. Microcanonical multifractal formalism--a geometrical approach to multifractal systems: Part I. Singularity analysis. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2008, Journal of Physics A: Mathematical and Theoretical, 41, pp.015501-015536. ⟨10.1088/1751-8113/41/1/015501⟩. ⟨hal-00937370⟩

Share

Metrics

Record views

576

Files downloads

737