Removing quasiconformal orbits
Dynamical Systems
2025-11-13 v2
Abstract
We show that generic continuous linear cocycles over shifts and other zero-dimensional systems admit no quasiconformal orbits, thus providing a partial answer to a question of Nassiri, Rajabzadeh, and Reshadat. The proof relies on a new result about towers for homeomorphisms of zero-dimensional spaces, which may be of independent interest.
Cite
@article{arxiv.2507.13519,
title = {Removing quasiconformal orbits},
author = {Jairo Bochi},
journal= {arXiv preprint arXiv:2507.13519},
year = {2025}
}
Comments
17 pages; 2 figures. Final version, accepted for publication in Studia Mathematica