SPECTRAL PROPERTIES OF MULTIFRACTAL MEASURES

被引：7
|
作者：
PISARENKO, VF
PISARENKO, DV
机构：
[1] International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Academy of Sciences, the USSR, Moscow, 113556, Warshavskoe sh. 79
来源：
PHYSICS LETTERS A | 1991年 / 153卷 / 4-5期
关键词：
D O I：
10.1016/0375-9601(91)90787-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Singular self-similar measures with almost everywhere zero derivative are considered. Their connection with fractal sets is studied. The relation between the Fourier transform of the measure (characteristic function) and its generalized fractal dimension d2 is established. This result is applied to the spatial distribution of earthquake epicenters.
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页码：169 / 172
页数：4
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