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arxiv: 0801.1383 · v2 · submitted 2008-01-09 · 🧮 math.DS

Multifractal analysis of non-uniformly hyperbolic systems

classification 🧮 math.DS
keywords hyperbolicmultifractalnon-uniformlyanalysisaveragesbirkhoffcasecontinuous
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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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