Piecewise rotations: limit set for the non -bijective maps
Dynamical Systems
2024-10-03 v1
Abstract
We consider non-bijective piecewise rotations of the plane. These maps belong to a family introduced in previous papers by Boshernitzan and Goetz. We derive in this paper some upper bounds to the size of the limit set. This improves results of \cite{Bosh.Goet.03}.
Keywords
Cite
@article{arxiv.2202.13107,
title = {Piecewise rotations: limit set for the non -bijective maps},
author = {Nicolas Bédaride and Jean françois Bertazzon and Idrissa Kaboré},
journal= {arXiv preprint arXiv:2202.13107},
year = {2024}
}
Comments
24 pages