Topological and measure-theoretic properties of one-dimensional cellular automata
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Publication:992262
DOI10.1016/S0167-2789(96)00254-0zbMath1194.37002OpenAlexW2021431667WikidataQ102225676 ScholiaQ102225676MaRDI QIDQ992262
Petr Kůrka, Alejandro Maass, François Blanchard
Publication date: 11 September 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00254-0
Dynamical aspects of cellular automata (37B15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
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Cites Work
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- Dynamical behaviour of Coven's aperiodic cellular automata
- Pattern growth in elementary cellular automata
- Computation theory of cellular automata
- An interconnection of local maps inducing onto global maps
- Ergodic properties of certain surjective cellular automata
- On the limit set of some universal cellular automata
- Ergodic theory on compact spaces
- Expansiveness, entropy and polynomial growth for groups acting on subshifts by automorphisms
- Rice's theorem for the limit sets of cellular automata
- Dynamical properties of expansive one-sided cellular automata
- Lyapunov exponents for one-dimensional cellular automata
- Decision procedures for surjectivity and injectivity of parallel maps for tessellation structures
- On the Limit Sets of Cellular Automata
- Classes of linear automata
- Entropies of Automorphisms of a Topological Markov Shift
- Attractors in cellular automata
- Indecomposable local maps of tessellation automata
- Topological Entropy of Block Maps
- Attractors in Restricted Cellular Automata
- The topological entropy of cellular automata is uncomputable
- Endomorphisms of irreducible subshifts of finite type
- Local maps inducing surjective global maps of one-dimensional tessellation automata
- On the approach to statistical equilibrium in an infinite-particle lattice dynamic model
- Sensitive dependence on initial conditions
- Languages, equicontinuity and attractors in cellular automata
- Twenty Problems in the Theory of Cellular Automata
- Textile systems for endomorphisms and automorphisms of the shift
- On the sofic limit sets of cellular automata
- Endomorphisms and automorphisms of the shift dynamical system
- Expansive Subdynamics
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