scaling: the vertical extent (Δz) of structures is typically ≈ΔxHz where Δx is the horizontal extent and Hz is a …

This paper provides new empirical evidence for intraday scaling behavior of stock market returns utilizing a 5min stock … across time scales and accordingly, volatility scaling is nonlinear under such a data generating mechanism. …

Scaling behavior of the temporal variability in self-potential data recorded in the frequency range 0<f<0.125Hz during … scaling in nonstationary time series, deviations from stable power-law scaling were quantified. Our findings point to an … evident unstable scaling behavior in self-potential data before the occurrence of the seismic event. These first results could …

initial, or seed, earthquake is specified. The subsequent earthquakes are obtained from the statistical distributions of … magnitude, time, and location. The magnitude scaling is based on a combination of the Gutenberg–Richter scaling relation and the … modified Båth’s law for the scaling relation of aftershocks relative to the magnitude of the seed earthquake. Omori’s law …

between the Rényi disorders and the spectrum of dimensions known as multifractals. Three examples are treated, including one …

The scaling properties of two alternative fractal models recently proposed to characterize the dynamics of stock market … time series, the partition function as well as the scaling function of the mBm, i.e. of a generally non …

argue that for multifractal spectra the scaling of the moments of the measure distribution should be considered, rather than … the usual definition, which considers only the limit at high resolution. A difference in scaling of the zeroth- and second …-order moment must lead to zero variance at some resolution. At that point the scaling must stop, as the variance cannot become …