Multifractal analysis of non-uniformly hyperbolic systems

Details Multifractal analysis of non-uniformly hyperbolic systems Multifractal analysis of non-uniformly hyperbolic systems

2008-01-09

arxiv.org/abs/0801.1383v2

Mathematics

Dynamical Systems

19 pages. We have corrected some typographical errors and clarified a few points

Scientific paper

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.

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