Comparison theorems for closed geodesics on negatively curved surfaces
نویسندگان
چکیده
In this note, we present new asymptotic estimates comparing the word length and geodesic of closed geodesics on surfaces with (variable) negative sectional curvatures. particular, provide an averaged comparison these two important quantities obtain precise statistical results, including a central limit theorem local theorem. Further, as corollary also improve formula Sharp second author (1998). Finally, relate our results to recent work Gekhtman, Taylor, Tiozzo (2019).
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2022
ISSN: ['1661-7207', '1661-7215']
DOI: https://doi.org/10.4171/ggd/671