Characterization of minimal sequences associated with self similar interval exchange maps
Author
dc.contributor.author
Cobo, Milton
Author
dc.contributor.author
Gutiérrez Romo, Rodolfo Joaquín
Author
dc.contributor.author
Maass Sepúlveda, Alejandro
Admission date
dc.date.accessioned
2018-07-31T15:02:20Z
Available date
dc.date.available
2018-07-31T15:02:20Z
Publication date
dc.date.issued
2018
Cita de ítem
dc.identifier.citation
Nonlinearity, 31 (2018): 1121–1154
es_ES
Identifier
dc.identifier.other
10.1088/1361-6544/aa9a87
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/150477
Abstract
dc.description.abstract
The construction of affine interval exchange maps (IEMs) with wandering intervals that are semi-conjugate to a given self-similar IEM is strongly related to the existence of the so-called minimal sequences associated with local potentials, which are certain elements of the substitution subshift arising from the given IEM. In this article, under the condition called unique representation property, we characterize such minimal sequences for potentials coming from non-real eigenvalues of the substitution matrix. We also give conditions on the slopes of the affine extensions of a self-similar IEM that determine whether it exhibits a wandering interval or not.