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arXiv · 2503.13091

Counting statistics for geodesics on flat surfaces

Stephen Cantrell·Mark Pollicott
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Abstract

We study counting limit laws that compare length functions on infinite graphs. We then apply these results to flat surfaces to obtain a statistical comparison between the geometric length and the number of singularities visited by geodesic paths.

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Stephen Cantrell, Mark Pollicott. 2025-03-17. Counting statistics for geodesics on flat surfaces. https://arxiv.org/abs/2503.13091

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