MULTIFRACTAL ANALYSIS FOR EXPANDING INTERVAL MAPS WITH INFINITELY MANY BRANCHES

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成果类型：

期刊论文

作者：

Fan, Ai-Hua*;Jordan, Thomas;Liao, Lingmin;Rams, Michal

通讯作者：

Fan, Ai-Hua

作者机构：

[Fan, Ai-Hua] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.

[Fan, Ai-Hua] Univ Picardie Jules Verne, CNRS, LAMFA UMR 6140, F-80039 Amiens 1, France.

[Jordan, Thomas] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England.

[Liao, Lingmin] Univ Paris Est Creteil, CNRS, LAMA UMR 8050, F-94010 Creteil, France.

[Rams, Michal] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland.

通讯机构：

[Fan, Ai-Hua] C

Cent China Normal Univ, Sch Math & Stat, 152 Luoyu Rd, Wuhan 430079, Peoples R China.

语种：

英文

关键词：

Multifractal analysis;Birkhoff averages;interval maps;infinitely many branches

期刊：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

ISSN：

0002-9947

年：

2015

卷：

367

期：

页码：

1847-1870

DOI：

10.1090/S0002-9947-2014-06141-2

基金类别：

MNiSWN (Poland) [N201 607640]; EU network CODY; EPSRCUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC)

机构署名：

本校为第一且通讯机构

院系归属：

数学与统计学学院

摘要：

In this paper we investigate multifractal decompositions based on values of Birkhoff averages of functions from a class of symbolically continuous functions. This will be done for an expanding interval map with infinitely many branches and is a generalisation of previous work for expanding maps with finitely many branches. We show that there are substantial differences between this case and the setting where the expanding map has only finitely ma...

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