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Length asymptotics in higher Teichmüller theory


Authors: Mark Pollicott and Richard Sharp
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
Published electronically: October 2, 2013
MathSciNet review: 3119185
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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.


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Additional Information

Mark Pollicott
Affiliation: Department of Mathematics, University of Warwick, Coventry CV4 7AL, United Kingdom
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
Email: R.J.Sharp@warwick.ac.uk

DOI: https://doi.org/10.1090/S0002-9939-2013-12059-9
Received by editor(s): March 8, 2012
Published electronically: October 2, 2013
Communicated by: Nimish Shah
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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