Length asymptotics in higher Teichmüller theory
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Abstract:
In this note, we recover a recent result of Sambarino by showing that certain length functions arising in higher Teichmüller theory satisfy a prime geodesic theorem analogous to that of Huber in the classical case. We also show that there are more sophisticated distributional and limiting results.References
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Additional Information
- Mark Pollicott
- Affiliation: Department of Mathematics, University of Warwick, Coventry CV4 7AL, United Kingdom
- MR Author ID: 140805
- Email: mpollic@maths.warwick.ac.uk
- Richard Sharp
- Affiliation: School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
- Address at time of publication: Department of Mathematics, University of Warwick, Coventry CV4 7AL, United Kingdom
- MR Author ID: 317352
- Email: R.J.Sharp@warwick.ac.uk
- Received by editor(s): March 8, 2012
- Published electronically: October 2, 2013
- Communicated by: Nimish Shah
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 101-112
- MSC (2010): Primary 20H10, 22E40, 37C30, 37D20, 37D40
- DOI: https://doi.org/10.1090/S0002-9939-2013-12059-9
- MathSciNet review: 3119185