Counting geodesics of given commutator length
Let $\Sigma $ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those periodic geodesics in $\Sigma $ having at most length L and which can be written as the product of g commutators. The basic idea is to reduce these results to being able to count...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2023-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423001147/type/journal_article |