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Conditional and Relative Multifractal Spectra
In the study of the involved geometry of singular distributions the use of fractal and multifractal analysis has shown results of outstanding significance. So far, the investigation has focused on structures produced by ...
Inverse Measures, the Inversion formula, and Discontinuous Multifractals
The present paper is part I of a series of three closely related papers in which the inverse measure m' of a given measure m on [0,1] is introduced. In the first case discussed in detail, both these measures are multifractal ...
Inversion Formula for Continuous Multifractals
In a previous paper the authors introduced the inverse measure <i>Âµ</i><sup>â </sup> of a probability measure <i>Âµ</i> on [0,1]. It was argued that the respective multifractal spectra are linked by the 'inversion formula' ...
Multifractal Properties of TCP Traffic: a Numerical Study
We analyze two traces of TCP--traffic recorded at the gateway of a LAN correÂ sponding to two hours at Berkeley and to eight hours at CNET labs respectively. We are mainly interested in a multifractal approach, which we ...
Fractional Brownian motion and data traffic modeling: The other end of the spectrum
We analyze the fractal behavior of the high frequency part of the Fourier spectrum of fBm using multifractal analysis and show that it is not consistent with what is measured on real traffic traces. We propose two extensions ...
An introduction to multifractals
This is an easy read introduction to multifractals. We start with a thorough study of the Binomial measure from a multifractal point of view, introducing the main multifractal tools. We then continue by showing how to ...