Recently, Naito considered quasi-periodic orbits of Hölder continuous functions and obtained results relating the exponent in the Hölder condition to the asymptotic behaviour of the inclusion lengths of the ?-almost periods of these orbits, and also to the fractal dimension of these orbits. In this paper we improve these results.
|Number of pages||5|
|Journal||Ergodic Theory and Dynamical Systems|
|Publication status||Published - Dec 1998|