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The accurate determination of atmospheric temperature with telemetric platforms is an active issue, one that can also be tackled with the aid of multifractal theory to extract fundamental behaviors of the lower atmosphere, which can then be used to ...
Marius Mihai Cazacu +5 more
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Introduction to multifractal wavelet and detrended fluctuation analyses
Physiological and behavioural phenomena are often complex, characterized by variations in time series. Variations in time series reflect how these phenomena organize into coherent structures by interactions that span multiple scales in both time and ...
Espen Alexander Fürst Ihlen
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Toward Interactions through Information in a Multifractal Paradigm
In a multifractal paradigm of motion, Shannon’s information functionality of a minimization principle induces multifractal–type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian ...
Maricel Agop +5 more
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MULTIFRACTAL FLUCTUATIONS IN FINANCE [PDF]
We consider the structure functions S(q)(τ), i.e. the moments of order q of the increments X(t + τ)-X(t) of the Foreign Exchange rate X(t) which give clear evidence of scaling (S(q)(τ)∝τζ(q)). We demonstrate that the nonlinearity of the observed scaling exponent ζ(q) is incompatible with monofractal additive stochastic models usually introduced in ...
F. Schmitt, D. Schertzer, S. Lovejoy
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MULTIFRACTAL SEGMENTATION OF IMAGES [PDF]
We propose a multifractal approach to the problem of image analysis. We show that an alternative description of images, based on a multifractal characterization, can be used instead of the classical approach that involves smoothing of the discrete data in order to compute local extrema.
Lévy Véhel, Jacques, Mignot, Pascal
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Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line [PDF]
We extend the multifractal formalism for the local dimension spectrum of a Gibbs measure μ supported on the attractor Λ of a conformal iterated functions system on the real line.
Sumi, Hiroki, Jaerisch, Johannes
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Multifractal Detrended Cross-Correlation Analysis of Global Methane and Temperature
Multifractal Detrended Cross-Correlation Analysis (MF-DCCA) was applied to time series of global methane concentrations and remotely-sensed temperature anomalies of the global lower and mid-troposphere, with the purpose of investigating the multifractal ...
Chris G. Tzanis +3 more
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In the present paper, correlations between multifractality and stochasticity in atmospheric dynamics are investigated. Starting with two descriptions of atmospheric scenarios, one based on scale relativity theory and another based on stochastic theory ...
Dragos-Constantin Nica +7 more
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A Multifractal Cascade Model for Energy Evolution and Dissipation in Ocean Turbulence
Scale properties and energy dissipation in the turbulent energy transfer process play an important role in deeply understanding the features of ocean turbulence.
Xiuyan Liu +4 more
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Mesón, Alejandro Mario +1 more
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