Hausdorff dimension and asymptotic cycles

Author:
Mark Pollicott

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

Published electronically:
April 16, 2003

MathSciNet review:
1974685

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Abstract | References | Similar Articles | Additional Information

Abstract: We carry out a multifractal analysis for the asymptotic cycles for compact Riemann surfaces of genus . This describes the set of unit tangent vectors for which the associated orbit has a given asymptotic cycle in homology.

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Additional Information

**Mark Pollicott**

Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, England

DOI:
https://doi.org/10.1090/S0002-9947-03-03308-7

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

Article copyright:
© Copyright 2003
American Mathematical Society