Constructions of cocycles over irrational rotations
Volume 125 / 1997
Studia Mathematica 125 (1997), 1-11
DOI: 10.4064/sm-125-1-1-11
Abstract
We construct a coboundary cocycle which is of bounded variation, is homotopic to the identity and is Hölder continuous with an arbitrary Hölder exponent smaller than 1.