Multifractal analysis of non-uniformly hyperbolic systems
Dynamical Systems
2008-09-23 v2
Abstract
We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville--Pomeau map.
Cite
@article{arxiv.0801.1383,
title = {Multifractal analysis of non-uniformly hyperbolic systems},
author = {Anders Johansson and Thomas Jordan and Anders Öberg and Mark Pollicott},
journal= {arXiv preprint arXiv:0801.1383},
year = {2008}
}
Comments
19 pages. We have corrected some typographical errors and clarified a few points