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math.DS2021
Power-free points in quadratic number fields: Stabiliser, dynamics and entropy
Michael Baake, Alvaro Bustos, Andreas Nickel
The sets of -free integers in general quadratic number fields are studied, with special emphasis on (extended) symmetries and their impact on the topological dynamical systems i…
math.DS2019★ 14 cited
Number-theoretic positive entropy shifts with small centraliser and large normaliser
Michael Baake, Alvaro Bustos, Christian Huck +2
Higher-dimensional binary shifts of number-theoretic origin with positive topological entropy are considered. We are particularly interested in analysing their symmetries and exten…