Multifractal analysis for expanding interval maps with infinitely many branches

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...

Full description

Saved in:
Bibliographic Details
Published in:Transactions of the American Mathematical Society 2015-03, Vol.367 (3), p.1847-1870
Main Authors: FAN, AI-HUA, JORDAN, THOMAS, LIAO, LINGMIN, RAMS, MICHAŁ
Format: Article
Language:English
Subjects:
Dynamical Systems
Mathematics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 many branches.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-2014-06141-2