Higher-dimensional point transformations and asymptotic measures for cellular automata

DOI10.1016/0898-1221(90)90247-HzbMath0728.68089MaRDI QIDQ805256

Boyarski, Abraham, Góra, Paweł

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

configuration spacecellular automatonhigher-dimensional point transformation

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Cellular automata (computational aspects) (68Q80)

Related Items (4)

Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations ⋮ Approximating measures invariant under higher-dimensional chaotic transformations ⋮ Existence of many ergodic absolutely continuous invariant measures for piecewise-expanding \(C^2\) chaotic transformations in \(\mathbb R^2\) on a fixed number of partitions ⋮ On the number of invariant measures for random expanding maps in higher dimensions

Cites Work

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• Why computers like Lebesgue measure
• Randomness implies order
• On small stochastic perturbations of mappings of the unit interval
• On invariant measures for piecewise $C^2$-transformations of the n-dimensional cube
• On n-dimensional piecewise-linear difference equations
• Analysing binary lattice data with the nearest-neighbor property
• Ergodic Transformations from an Interval Into Itself
• Markov Random Fields and Gibbs Ensembles

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