The automorphism group of a minimal shift of stretched exponential growth

DOI10.3934/jmd.2016.10.483zbMath1402.37013arXiv1509.08493OpenAlexW2964260203MaRDI QIDQ1629929

Bryna Kra, Van Cyr

Publication date: 7 December 2018

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08493

zbMATH Keywords

automorphismzero entropyamenablesubshiftblock complexity

Mathematics Subject Classification ID

Related Items (20)

The spacetime of a shift endomorphism ⋮ Characteristic measures of symbolic dynamical systems ⋮ Universal groups of cellular automata ⋮ On the automorphism group of minimal -adic subshifts of finite alphabet rank ⋮ Local finiteness and automorphism groups of low complexity subshifts ⋮ Free ergodic ℤ²-systems and complexity ⋮ On the garden of Eden theorem for \(\mathscr{B}\)-free subshifts ⋮ Characteristic measures for language stable subshifts ⋮ The automorphism group of a shift of slow growth is amenable ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ 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 ⋮ Realization of big centralizers of minimal aperiodic actions on the Cantor set ⋮ Algebraic invariants for group actions on the Cantor set ⋮ Normal amenable subgroups of the automorphism group of the full shift

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gromov's theorem on groups of polynomial growth and elementary logic
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• The automorphism group of a shift of subquadratic growth
• On automorphism groups of low complexity subshifts
• Computing automorphism groups of shifts using atypical equivalence classes
• Toeplitz subshift whose automorphism group is not finitely generated
• Block maps between primitive uniform and Pisot substitutions
• The Automorphism Group of a Shift of Finite Type
• Private coresets
• THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY
• Endomorphisms and automorphisms of the shift dynamical system
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• Symbolic Dynamics II. Sturmian Trajectories

This page was built for publication: The automorphism group of a minimal shift of stretched exponential growth