The variance of closed geodesics in balls and annuli on the modular surface
We asymptotically estimate the variance for the distribution of closed geodesics in small random balls or annuli on the modular surface Γ﹨H. A probabilistic model in which closed geodesics are modeled using random geodesic segments is proposed, and we rigorously analyze this model using mixing of th...
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| Format: | Article |
| Language: | English |
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Academic Press Inc.
2022
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| Online Access: | View Fulltext in Publisher |