Expansive dynamics on zero-dimensional groups

DOI10.1017/S0143385700003989zbMath0597.54039MaRDI QIDQ3730642

Bruce P. Kitchens

Publication date: 1987

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

zbMATH Keywords

expansive automorphismcompact, zero-dimensional groupequivalence classes for irreducible systems

Mathematics Subject Classification ID

Entropy in general topology (54C70)

Related Items (22)

Inverse semigroup shifts over countable alphabets ⋮ Shifts on compact and discrete Lie groups: Algebraic-topological invariants and classification problems ⋮ Decidability and universality of quasiminimal subshifts ⋮ Defect particle kinematics in one-dimensional cellular automata ⋮ TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS ⋮ Nilpotent Lie groups and hyperbolic automorphisms ⋮ Combinatorial constructions associated to the dynamics of one-sided cellular automata. ⋮ Classification problems for shifts on modules over a principal ideal domain ⋮ Contraction groups, ergodicity, and distal properties of automorphisms of compact groups ⋮ Module shifts and measure rigidity in linear cellular automata ⋮ Recoding Lie algebraic subshifts ⋮ Topological automorphism groups of compact quantum groups ⋮ Expansive automorphisms of totally disconnected, locally compact groups ⋮ Expansive dynamics on locally compact groups ⋮ Periodic points for onto cellular automata ⋮ Measure rigidity for algebraic bipermutative cellular automata ⋮ Expansive automorphisms on locally compact groups ⋮ Pre-expansivity in cellular automata ⋮ A language hierarchy and kitchens-type theorem for self-similar groups ⋮ Knot invariants from symbolic dynamical systems ⋮ Standard decomposition of expansive ergodically supported dynamics ⋮ Expansive dynamics on profinite groups

Cites Work

• Unnamed Item
• Classification of subshifts of finite type
• Lifting expansive homeomorphisms to symbolic flows

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