2025/07/17 by Jairo Bochi, Bochi, Jairo
Mathematics · #Mathematical Dynamics and Fractals #Holomorphic and Operator Theory #Analytic and geometric function theory
paper · pdf · doi:10.48550/arxiv.2507.13519
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.