On automorphism groups of low complexity subshifts

DOI10.1017/etds.2015.70zbMath1354.37024arXiv1501.00510OpenAlexW2963820840MaRDI QIDQ2793099

Samuel Petite, Sebastián Donoso, Alejandro Maass, Fabien Durand

Publication date: 15 March 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00510

zbMATH Keywords

automorphism grouptopological dynamicsminimal subshiftsrecurrent subshifts

Mathematics Subject Classification ID

Related Items (35)

The automorphism group of a minimal shift of stretched exponential growth ⋮ The spacetime of a shift endomorphism ⋮ Characteristic measures of symbolic dynamical systems ⋮ Universal groups of cellular automata ⋮ Reversing and extended symmetries of shift spaces ⋮ On the automorphism group of minimal -adic subshifts of finite alphabet rank ⋮ Local finiteness and automorphism groups of low complexity subshifts ⋮ Low complexity subshifts have discrete spectrum ⋮ On the garden of Eden theorem for \(\mathscr{B}\)-free subshifts ⋮ Homomorphisms between multidimensional constant-shape substitutions ⋮ Dynamical properties of minimal Ferenczi subshifts ⋮ Measure-theoretically mixing subshifts with low complexity ⋮ On the structure of generic subshifts ⋮ The automorphism group of a shift of slow growth is amenable ⋮ The complexity threshold for the emergence of Kakutani inequivalence ⋮ Admissible reversing and extended symmetries for bijective substitutions ⋮ Transitive action on finite points of a full shift and a finitary Ryan’s theorem ⋮ The mapping class group of a shift of finite type ⋮ Distortion and the automorphism group of a shift ⋮ Toeplitz subshifts with trivial centralizers and positive entropy ⋮ Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017 ⋮ The mapping class group of a minimal subshift ⋮ Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation ⋮ On automorphism groups of Toeplitz subshifts ⋮ Number-theoretic positive entropy shifts with small centralizer and large normalizer ⋮ The automorphism group of a shift of subquadratic growth ⋮ Extended symmetry groups of multidimensional subshifts with hierarchical structure ⋮ Minimal flows with arbitrary centralizer ⋮ Realization of big centralizers of minimal aperiodic actions on the Cantor set ⋮ Algebraic invariants for group actions on the Cantor set ⋮ Computing automorphism groups of shifts using atypical equivalence classes ⋮ Recognizability for sequences of morphisms ⋮ Eventually dendric shift spaces ⋮ Interplay between finite topological rank minimal Cantor systems, 𝒮-adic subshifts and their complexity ⋮ Normal amenable subgroups of the automorphism group of the full shift

Cites Work

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