Multifractal analysis of earthquake catalogues

Multifractal analysis for the ULF geomagnetic data during the 1993 Guam earthquake

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 support to this precursory effect to the general rupture (earthquake) we have carried out the corresponding multifractal analysis (by means of detrended fluctuation analysis) for the same data to study ...

multifractal analysis of the spatial distribution of earthquake epicenters in the zagros and alborz-kopeh dagh regions of iran

this paper shows how multifractal analysis can be used to characterize the spatial distribution of epicenters in the zagros and alborz-kopeh dagh regions of iran. the main multifractal characteristics, dq, f(αq), τq, αq and a set of multifractal parameters defined from the shape of the f(αq)-spectrum including the width of f(αq)-spectrum, nonuniformity factor, combined parameter, coefficients o...

Multifractal analysis for all

Multifractal formalism and analysis have been described many times (Lopes and Betrouni, 2009). There are several approaches to the implementation of multifractal analysis and there numerous ways to present these (Olsen, 1995; Wendt et al., 2009; Ihlen, 2012). Ihlen’s article, in the June 4th 2012 issue of Frontiers of Physiology, entitled “Introduction to multifractal detrended fluctuation anal...

Box-counting multifractal analysis.

Multifractal Analysis of Hyperbolic Flows

We establish the multifractal analysis of hyperbolic flows and of suspension flows over subshifts of finite type. A non-trivial consequence of our results is that for every Hölder continuous function noncohomologous to a constant, the set of points without Birkhoff average has full topological entropy.