4 citations · 4 across the 1 of their papers we have counts for
3 papers
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.DS2021★ 4 cited
Admissible reversing and extended symmetries for bijective substitutions
Álvaro Bustos, Daniel Luz, Neil Mañibo
In this paper, we deal with reversing and extended symmetries of shifts generated by bijective substitutions. We provide equivalent conditions for a permutation on the alphabet to…
math.DS2018
Computation of extended symmetry groups for multidimensional subshifts with hierarchical structure
Álvaro Bustos
Automorphism groups are intrincate conjugacy invariants for subshifts, which can reveal important features of the dynamical structure of a shift action. One important case is the s…