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Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
Multifractal analysis of some multiple ergodic averages non-constant Lyapunov exponents Dynamical Systems
2012/6/27
We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\mathbb{N}}$ of the attractor, we c...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Multifractal analysis linearization effect compound Poisson motion
2011/3/3
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Linearization effect multifractal analysis Random Energy Model analysis
2011/1/4
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Organisation of joints and faults from 1-cm to 100-km scales revealed by optimized anisotropic wavelet coefficient method and multifractal analysis
Organisation of joints and faults wavelet coefficient method multifractal analysis
2009/11/16
The classical method of statistical physics deduces the macroscopic behaviour of a system from the organization and interactions of its microscopical constituents. This kind of problem can often be so...
Multifractal analysis for the ULF geomagnetic data during the 1993 Guam earthquake
Multifractal analysis ULF geomagnetic data Guam earthquake
2009/11/9
In our previous papers we have shown that the fractal (monofractal) dimension (Do) showed a significant increase before the Guam earthquake occurred on 8 August, 1993. In order to have a further suppo...
Representative elementary area for multifractal analysis of soil porosity using entropy dimension
Representative elementary area multifractal analysis soil porosity entropy dimension
2009/11/3
The notion of representative elementary area (REA) developed to address heterogeneity and scale problems in quantitative soil pedology comes from the notion of representative elementary volume of flui...
Assessing soil surface roughness decay during simulated rainfall by multifractal analysis
soil surface roughness decay simulated rainfall multifractal analysis
2009/11/2
Understanding and describing the spatial characteristics of soil surface microrelief are required for modelling overland flow and erosion. We employed the multifractal approach to characterize topogra...
Multifractal analysis of radar rainfall fields over the area of Rome
Multifractal analysis radar rainfall fields the area of Rome
2010/1/22
A scale-invariance analysis of space and time rainfall events monitored by meteorological radar over the area of Rome (Italy) is proposed. The study of the scale-invariance properties of intense preci...