Hausdorff dimension and asymptotic cycles
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Abstract:
We carry out a multifractal analysis for the asymptotic cycles for compact Riemann surfaces of genus $g \geq 2$. This describes the set of unit tangent vectors for which the associated orbit has a given asymptotic cycle in homology.References
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Additional Information
- Mark Pollicott
- Affiliation: Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, England
- MR Author ID: 140805
- Received by editor(s): October 25, 2002
- Published electronically: April 16, 2003
- Additional Notes: I am very grateful to Howie Weiss and Luis Barreira for very useful conversations on multifractal analysis
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 3241-3252
- MSC (2000): Primary 28A78, 37D35; Secondary 37D40, 55N10
- DOI: https://doi.org/10.1090/S0002-9947-03-03308-7
- MathSciNet review: 1974685