Periodic Points and Automorphisms of the Shift

DOI10.2307/2000901zbMath0621.58031OpenAlexW4239220612MaRDI QIDQ3757031

Mike Boyle, Wolfgang Krieger

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000901

zbMATH Keywords

entropyMöbius functioninvariant measurezeta functiontopological Markov shiftgyration function

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (26)

Constraints on the degree of a sofic homomorphism and the induced multiplication of measures on unstable sets ⋮ Strong shift equivalence theory and the shift equivalence problem ⋮ Eventual Finite Order Generation for the Kernel of the Dimension Group Representation ⋮ Markov partitions and \(K_ 2\) ⋮ Eventual Extensions of Finite Codes ⋮ Realizing symmetries of a shift ⋮ The spacetime of a shift endomorphism ⋮ Realizing symmetries of a subshift of finite type by homeomorphisms of spheres ⋮ The number of configurations in the full shift with a given least period ⋮ Characteristic measures for language stable subshifts ⋮ The mapping class group of a shift of finite type ⋮ Expansive Subdynamics ⋮ The automorphism group of a coded system ⋮ Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation ⋮ Inert actions on periodic points ⋮ Periodic Seeded Arrays and Automorphisms of the Shift ⋮ Automorphisms of the Dimension Group and Gyration Numbers ⋮ The shift equivalence problem. ⋮ On Automorphisms of Markov Chains ⋮ The canonical-boundary representation for automorphism groups of locally compact countable state Markov shifts ⋮ Entropies of Automorphisms of a Topological Markov Shift ⋮ Normal amenable subgroups of the automorphism group of sofic shifts ⋮ The action of inert finite-order automorphisms on finite subsystems of the shift ⋮ The Automorphism Group of a Shift of Finite Type ⋮ Endomorphisms of expansive systems on compact metric spaces and the pseudo-orbit tracing property ⋮ Periodic points and finite group actions on shifts of finite type

Cites Work

• On dimension functions and topological Markov chains
• Ergodic theory on compact spaces
• Classification of subshifts of finite type
• Endomorphisms and automorphisms of the shift dynamical system
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