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Removing quasiconformal orbits

Jairo Bochi Studia Mathematica MSC: Primary 37D30; Secondary 37B02, 37B20 DOI: 10.4064/sm250717-14-11 Opublikowany online: 31 March 2026

Streszczenie

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.

Autorzy

  • Jairo BochiDepartment of Mathematics
    The Pennsylvania State University
    University Park, PA 16802, USA
    e-mail

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