Slowly divergent geodesics in moduli space

Author:
Yitwah Cheung

Journal:
Conform. Geom. Dyn. **8** (2004), 167-189

MSC (2000):
Primary 37A45; Secondary 11J70

DOI:
https://doi.org/10.1090/S1088-4173-04-00113-4

Published electronically:
November 17, 2004

MathSciNet review:
2122525

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Abstract | References | Similar Articles | Additional Information

Abstract: Slowly divergent Teichmüller geodesics in the moduli space of Riemann surfaces of genus are constructed via cyclic branched covers of the torus. Nonergodic examples (i.e. geodesics whose defining quadratic differential has nonergodic vertical foliation) diverging to infinity at sublinear rates are constructed using a Diophantine condition. Examples with an arbitrarily slow prescribed rate of divergence are also exhibited.

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Additional Information

**Yitwah Cheung**

Affiliation:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, Illinois 60208-2730

DOI:
https://doi.org/10.1090/S1088-4173-04-00113-4

Received by editor(s):
January 12, 2004

Received by editor(s) in revised form:
September 4, 2004

Published electronically:
November 17, 2004

Article copyright:
© Copyright 2004
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.