On the automorphism groups of multidimensional shifts of finite type

DOI10.1017/S0143385709000248zbMath1202.37018OpenAlexW2051246683MaRDI QIDQ3569988

Michael Hochman

Publication date: 22 June 2010

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

Full work available at URL: https://doi.org/10.1017/s0143385709000248

zbMATH Keywords

entropyshift of finite type

Mathematics Subject Classification ID

Topological entropy (37B40)

Related Items (12)

Topologically completely positive entropy and zero-dimensional topologically completely positive entropy ⋮ Local entropy averages and projections of fractal measures ⋮ On intrinsic ergodicity of factors of subshifts ⋮ The mapping class group of a shift of finite type ⋮ Toeplitz subshifts with trivial centralizers and positive entropy ⋮ Large semigroups of cellular automata ⋮ THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY ⋮ On automorphism groups of low complexity subshifts ⋮ Normal amenable subgroups of the automorphism group of sofic shifts ⋮ A proof of Furstenberg's conjecture on the intersections of \(\times p\)- and \(\times q\)-invariant sets ⋮ Nilpotent endomorphisms of expansive group actions ⋮ Normal amenable subgroups of the automorphism group of the full shift

Cites Work

• On the dynamics and recursive properties of multidimensional symbolic systems
• Automorphisms of \(\mathbb Z^ d\)-subshifts of finite type
• Undecidability and nonperiodicity for tilings of the plane
• The Automorphism Group of a Shift of Finite Type
• An Introduction to Symbolic Dynamics and Coding
• Endomorphisms and automorphisms of the shift dynamical system
• The shift and commutativity

This page was built for publication: On the automorphism groups of multidimensional shifts of finite type