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Slowly divergent geodesics in moduli space
Author(s):
Yitwah
Cheung
Journal:
Conform. Geom. Dyn.
8
(2004),
167-189.
MSC (2000):
Primary 37A45;
Secondary 11J70
Posted:
November 17, 2004
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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.
References:
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Additional Information:
Yitwah
Cheung
Affiliation:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, Illinois 60208-2730
DOI:
10.1090/S1088-4173-04-00113-4
PII:
S 1088-4173(04)00113-4
Received by editor(s):
January 12, 2004
Received by editor(s) in revised form:
September 4, 2004
Posted:
November 17, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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