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• W1871848960 endingPage "447" @default.
• W1871848960 startingPage "417" @default.
• W1871848960 abstract "Let $A^{Z^D}$ be the Cantor space of $Z^D$-indexed configurations in a finite alphabet A, and let σ be the $Z^D$-action of shifts on $A^{Z^D}$. A cellular automaton is a continuous, σ-commuting self-map Φ of $A^{Z^D}$, and a Φ-invariant subshift is a closed, (Φ, σ)-invariant subset u ⊂ $A^{Z^D}$. Suppose a ∈ $A^{Z^D}$ is u-admissible everywhere except for some small region we call a defect. It has been empirically observed that such defects persist under iteration of Φ, and often propagate like 'particles' which coalesce or annihilate on contact. We use spectral theory to explain the persistence of some defects under Φ, and partly explain the outcomes of their collisions." @default.
• W1871848960 created "2016-06-24" @default.
• W1871848960 creator A5006314894 @default.
• W1871848960 date "2007-08-01" @default.
• W1871848960 modified "2023-09-23" @default.
• W1871848960 title "Spectral Domain Boundaries in Cellular Automata" @default.
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• W1871848960 hasPublicationYear "2007" @default.
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