Условные и взаимные мультифрактальные спектры. Определение и основные свойства.

N. Yu. Svetova

Petrozavodsk State University, Faculty of Mathematics

Abstract: This paper introduces a formalism for the multifractal analysis of one probability measure with respect to another. The conditional and the mutual multifractal spectra are considered, which give the better understanding of influence of local geometry of fractal measures against each other.

UDC: 511, 514.8 ,530.1

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