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Multifractal Analysis of Singularly Continuous Probability Measures

We analyze correlations between different approaches to the definition of the Hausdorff dimension of singular probability measures on the basis of fractal analysis of essential supports of these measures. We introduce characteristic multifractal measures of the first and higher orders. Using these m...

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Bibliographic Details
Date:	2005
Main Authors:	Torbin, H. M., Торбін, Г. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3637
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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