Inverse Problems in Multifractal Analysis

被引:0
|
作者
Barral, Julien [1 ]
机构
[1] Univ Paris 13, Sorbonne Paris Cite, Inst Galilee, Lab Anal Geometrie & Applicat UMR 7539, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France
来源
关键词
Multifractal formalism; Multifractal analysis; Hausdorff dimension; Packing dimension; Large deviations; Inverse problems; SINGULARITY SPECTRUM; GIBBS MEASURES; FORMALISM; DIMENSION; EXPONENTS;
D O I
10.1007/978-3-319-18660-3_14
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present recent results regarding the construction of positive measures with a prescribed multifractal nature, as well as their counterpart in multifractal analysis of Holder continuous functions.
引用
收藏
页码:261 / 278
页数:18
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