MULTIDIMENSIONAL SELF-AFFINE DISTRIBUTION WITH APPLICATION IN GEOCHEMISTRY

dc.contributor.author	Wei Sh.
dc.contributor.author	Pengda Zh.
dc.date.accessioned	2021-04-16T05:17:18Z
dc.date.available	2021-04-16T05:17:18Z
dc.date.issued	2002
dc.identifier	https://www.elibrary.ru/item.asp?id=950399
dc.identifier.citation	Mathematical Geology, 2002, 34, 2, 109-123
dc.identifier.issn	0882-8121
dc.identifier.uri	https://repository.geologyscience.ru/handle/123456789/27908
dc.description.abstract	In this paper, we present the conception of the multidimensional self-affine distribution and show that the multidimensional self-affine distribution possesses the fractal property of scale-invariance under truncation, which means that theoretical study of fractals has expanded from univariate cases to multivariate cases. Application of the multidimensional self-affine distribution is illustrated by means of geochemical Au and Ag elements data sets. The fractal dimension is a parameter which can quantitatively explain the variation of geochemical elements data on some orientation. This method is applied to Au data and Ag data, but also suited for other geochemical elements data or geological data. Theory of multivariate fractal can be applied for the study of change courses of fractal system, that is, fractal dynamics.
dc.subject	FRACTAL
dc.subject	FRACTAL DIMENSION
dc.subject	SCALE-INVARIANCE
dc.subject	POWER LAW
dc.subject	VARIOGRAM
dc.title	MULTIDIMENSIONAL SELF-AFFINE DISTRIBUTION WITH APPLICATION IN GEOCHEMISTRY
dc.type	Статья

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