DYNAMICAL MULTIFRACTAL ZETA-FUNCTIONS, MULTIFRACTAL PRESSURE AND FINE MULTIFRACTAL SPECTRA

被引：2
|
作者：
Olsen, L. [1 ]
机构：
[1] Univ St Andrews, Dept Math, St Andrews KY16 9SS, Fife, Scotland
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2017年 / 131卷
关键词：
DIVERGENCE POINTS; BIRKHOFF AVERAGES; SETS;
D O I：
10.1007/s11854-017-0007-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce multifractal pressure and dynamical multifractal zeta-functions, providing precise information on a very general class of multifractal spectra, including, for example, the fine multifractal spectra of self-conformal measures and the fine multifractal spectra of ergodic Birkhoff averages of continuous functions.
引用
收藏
页码：207 / 253
页数：47
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