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math.DS2017★ 1 cited
Characterization of minimal sequences associated with self-similar interval exchange maps
Milton Cobo, Rodolfo Gutiérrez-Romo, Alejandro Maass
The construction of affine interval exchange maps with wandering intervals that are semi-conjugate with a given self-similar interval exchange map is strongly related with the exis…
math.DS2015★ 3 cited
Wandering intervals in affine extensions of self-similar interval exchange maps: the cubic Arnoux-Yoccoz map
Milton Cobo, Rodolfo Gutiérrez-Romo, Alejandro Maass
In this article we provide sufficient conditions on a self-similar interval exchange map, whose renormalization matrix has complex eigenvalues of modulus greater than one, for the…