Effective equidistribution of the real part of orbits on hyperbolic surfaces
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- by Jimi L. Truelsen PDF
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Abstract:
For non-cocompact Fuchsian groups with finite covolume we prove that the real part of the orbit of a point in the upper half-plane is equidistributed with an effective error term. This extends previous results by A. Good, M. Risager, and Z. Rudnick. We use the equidistribution result to generalize a theorem by F. Chamizo.References
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Additional Information
- Jimi L. Truelsen
- Affiliation: Department of Mathematical Sciences, Aarhus University, Ny Munkegade 118, DK-8000 Aarhus C, Denmark
- Email: lee@imf.au.dk
- Received by editor(s): June 18, 2011
- Received by editor(s) in revised form: July 9, 2011
- Published electronically: June 28, 2012
- Additional Notes: The author was funded by a stipend from The Danish Agency for Science, Technology and Innovation.
- Communicated by: Kathrin Bringmann
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 505-514
- MSC (2010): Primary 11B05, 11J71; Secondary 11M36
- DOI: https://doi.org/10.1090/S0002-9939-2012-11360-7
- MathSciNet review: 2996954