Removing quasiconformal orbits
Studia Mathematica
MSC: Primary 37D30; Secondary 37B02, 37B20
DOI: 10.4064/sm250717-14-11
Published online: 31 March 2026
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.
