Counting statistics for geodesics on flat surfaces
Dynamical Systems
2025-03-18 v1 Geometric Topology
Probability
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.
Keywords
Cite
@article{arxiv.2503.13091,
title = {Counting statistics for geodesics on flat surfaces},
author = {Stephen Cantrell and Mark Pollicott},
journal= {arXiv preprint arXiv:2503.13091},
year = {2025}
}
Comments
24 pages, 2 figures