Shrinking targets on square-tiled surfaces
Dynamical Systems
2024-03-19 v3 Number Theory
Abstract
We study a shrinking target problem on square-tiled surfaces. We show that the action of a subgroup of the Veech group of a regular square-tiled surface exhibits Diophantine properties. This generalizes the work of Finkelshtein, who studied a similar problem on the flat torus.
Cite
@article{arxiv.2104.09634,
title = {Shrinking targets on square-tiled surfaces},
author = {Josh Southerland},
journal= {arXiv preprint arXiv:2104.09634},
year = {2024}
}
Comments
Revisions. Comments welcome!