Multifractal spectra and multifractal zeta-functions

被引：1
|
作者：
V. Mijović
L. Olsen
机构：
[1] University of St. Andrews,Department of Mathematics
来源：
Aequationes mathematicae | 2017年 / 91卷
关键词：
Multifractals; Zeta functions; Large deviations; Ergodic theory; Hausdorff dimension; Primary 28A78; Secondary 37D30; 37A45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce multifractal zetafunctions providing precise information of a very general class of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra of ergodic Birkhoff averages of continuous functions. More precisely, we prove that these and more general multifractal spectra equal the abscissae of convergence of the associated zeta-functions.
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页码：21 / 82
页数：61
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