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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 ...
On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables
Generalizing the concept of time-frequency representations, Cohen has recently proposed a general method, based on operator correspondence rules, for generating joint distributions of arbitrary variables. As an alternative ...