Open Access
Article
Multifractal spectrum of quotients of Birkhoff averages for a family of quadratic maps
*ALEJANDRO MESÓNCorresponding authormeson@iflysib.unlp.edu.arConicet-Unlp and Grupo De Aplicaciones MatemáTicas Y Estadisticas De La Facultad De Ingeniería (GAMEFI) UnlpInstituto De Física de Líquidos y Sistemas Biológicos (IFLYSIB)La Plata, ArgentinaView full profile → , FERNANDO VERICATvericat@iflysib.unlp.edu.arConicet-Unlp and Grupo De Aplicaciones MatemáTicas Y Estadisticas De La Facultad De Ingeniería (GAMEFI) UnlpInstituto De Física de Líquidos y Sistemas Biológicos (IFLYSIB)La Plata, ArgentinaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 02 Feb 2017
- Accepted:
- 21 Oct 2017
- Published Online:
- 12 Jun 2018
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2017.1413064
- Pages:
- 17–32
Abstract
In a recent article, Chung and Takahashi (Erg. Th & Dynan. Sys. 34, 1116 (2014)) effected a multifractal description of the Birkhoff spectrum for a set of quadratic one dimensional functions known as the Benedicks-Carleson maps. They obtained a variational formula for the dimension spectrum of Birkhoff averages. In this article we try to complete the analysis studying the spectrum of quotients of Birkhoff averages.
Keywords
Subject Classifications
37C4537B40
References
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