Some real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent
Dynamical Systems
2024-06-12 v1
Abstract
We study the real Rel orbits of some translation surfaces in the stratum . Specifically, surfaces that are tremors of the locus of branched double covers of tori. We give necessary and sufficient conditions on tremors of a surface so that the real Rel orbit is recurrent. As a consequence, we are able to provide explicit examples of trajectories of real Rel that are not recurrent.
Cite
@article{arxiv.2406.07495,
title = {Some real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent},
author = {Carlos Ospina},
journal= {arXiv preprint arXiv:2406.07495},
year = {2024}
}
Comments
27 pages, 6 figures. Comments are welcome!