MULTIFRACTAL SPECTRA OF MULTI-AFFINE FUNCTIONS

被引：103
|
作者：
BARABASI, AL
SZEPFALUSY, P
VICSEK, T
机构：
[1] EOTVOS LORAND UNIV,INST SOLID STATE PHYS,H-1445 BUDAPEST,HUNGARY
[2] HUNGARIAN ACAD SCI,CENT RES INST PHYS,H-1525 BUDAPEST,HUNGARY
[3] INST TECH PHYS,H-1325 BUDAPEST,HUNGARY
来源：
PHYSICA A | 1991年 / 178卷 / 01期
基金：
匈牙利科学研究基金会;
关键词：
D O I：
10.1016/0378-4371(91)90072-K
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Self-affine functions F(chi) with multiscaling height correlations C(q)(chi) approximately chi(qH)q are described in terms of the standard multifractal formalism with a modified assumption for the partition. The corresponding quantities and expressions are shown to exhibit some characteristic differences from the standard ones. According to our calculations the f(alpha) type spectra are not uniquely determined by the H(q) spectrum, but depend on the particular choice which is made for the dependence of N on chi, where N is the number of points over which the average is taken. Our results are expected to be relevant in the analysis of signal type data obtained in experiments on systems with an underlying multiplicative process.
引用
收藏
页码：17 / 28
页数：12
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