Abstract:
We establish the multifractal analysis of hyperbolic flows and of suspension flows over subshifts of finite type. A non-trivial consequence of our results is that for every Hölder continuous function non-cohomologous to a constant, the set of points without Birkhoff average has full topological entropy.
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Received: 18 November 1999 / Accepted: 3 April 2000
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Barreira, L., Saussol, B. Multifractal Analysis of Hyperbolic Flows. Commun. Math. Phys. 214, 339–371 (2000). https://doi.org/10.1007/s002200000268
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DOI: https://doi.org/10.1007/s002200000268