Length asymptotics in higher Teichmüller theory

Pollicott, Mark; Sharp, Richard

doi:10.1090/S0002-9939-2013-12059-9

Length asymptotics in higher Teichmüller theory
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Proc. Amer. Math. Soc. 142 (2014), 101-112 Request permission

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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