Uniform distribution of saddle connection lengths in all $\mathsf{SL}(2,\mathbb{R})$ orbits
Dynamical Systems
2026-01-07 v1
Abstract
For every flat surface, almost every flat surface in its orbit has the following property: the sequence of its saddle connection lengths in non-decreasing order is uniformly distributed in the unit interval.
Cite
@article{arxiv.2601.02979,
title = {Uniform distribution of saddle connection lengths in all $\mathsf{SL}(2,\mathbb{R})$ orbits},
author = {Donald Robertson and Benjamin Dozier},
journal= {arXiv preprint arXiv:2601.02979},
year = {2026}
}
Comments
23 pages, 2 figures