Jäger, T.Passeggi, A.Štimac, Sonja2016-11-152016-11-152016-10Jäger, T., Passeggi, A., & Štimac, S. (2016). Rotation sets and almost periodic sequences. Mathematische Zeitschrift, 284(1–2), 271–284. https://doi.org/10.1007/s00209-016-1656-3https://hdl.handle.net/1805/11458We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segment as well as non-convex and even plane-separating continua. This shows that the restriction which hold for rotation sets on the whole torus are not valid on minimal sets. The proof uses a construction of rotational horseshoes by Kwapisz to transfer the problem to a symbolic level, where the desired rotational behaviour is implemented by means of suitable irregular Toeplitz sequences.enPublisher Policyrotational behaviorToeplitz sequencesArticle