Bustos, Á. Extended symmetry groups of multidimensional subshifts with hierarchical structure. Discrete and Continuous Dynamical Systems, 2020, 40(10): 5869-5895. doi: 10.3934/dcds.2020250 (arXiv:1810.02838)

Baake, M., Bustos, Á., Huck, C., Lemańczyk, M., and Nickel, A. Number-theoretic positive entropy shifts with small centralizer and large normalizer. Ergodic Theory and Dynamical Systems, 2021, 41(11): 3201-3226. doi: 10.1017/etds.2020.111 (arXiv:1910.13876)

Bustos, Á., Luz, D., and Mañibo, N. Admissible reversing and extended symmetries for bijective substitutions. Discrete Comput Geom, 2023, 69: 800-833. doi: 10.1007/s00454-022-00387-8 (arXiv:2101.10988)

Bustos-Gajardo, Á., Mañibo, N., and Yassawi, R. Torsion-free S-adic systems and their spectrum. Studia Mathematica, 2023, 272:159-198. doi: 10.4064/sm221028-6-5  (arXiv:2209.02104)

Baake, M., Bustos, Á., and Nickel, A. Power-free points in quadratic number fields: Stabiliser, dynamics and entropy. Isr. J. Math, 2025, 265:79–113. doi: 10.1007/s11856-023-2577-6  (arXiv:2110.02520)

Bustos-Gajardo, Á., Kellendonk, J., and Yassawi, R. Almost automorphic and bijective factors of substitution shifts. Monatsh. Math., 2025, 206:507–549. doi: 10.1007/s00605-024-02053-y  (arXiv:2307.01787)

Baake, M., Bustos, Á., and Nickel, A. On k-free numbers in cyclotomic fields: entropy, symmetries and topological invariants. Studia Mathematica, 2025, 281:275-301. doi: 10.4064/sm240212-15-2 (arXiv:2311.18454)

Briceño, R., Bustos-Gajardo, Á., and Donoso-Echenique, M. Natural extensions of embeddable semigroup actions. Groups Geom. Dyn., 2025, published online first. doi: 10.4171/ggd/921 (arXiv:2501.05536)

Briceño, R., Bustos-Gajardo, Á., and Donoso-Echenique, M. Extensibility and denseness of periodic semigroup actions. (arXiv:2502.00312)

Bustos-Gajardo, Á., Luz, D., and Mañibo, N. Radius-zero extended symmetries and irregular fibres of Z^d-substitution subshifts. (arXiv:2506.13392)

Bustos-Gajardo, Á., Fokkink, R., and Yassawi, R. Cobham's theorem for the Gaussian integers. (arXiv:2510.01440)

Bustos Gajardo, Á., under the supervision of Schraudner, M. Subdinámica proyectiva de subshifts de tipo finito sobre grupos virtualmente-Z (MEng thesis, 2016)

Bustos Gajardo, Á., under the supervision of Schraudner, M. Extended symmetries in subshifts under strong rigidity conditions (PhD thesis, 2021)