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- W4300952404 abstract "We present a preliminary study of a new class of two-input cellular automata called eventually number-conserving cellular automata characterized by the property of evolving after a finite number of time steps to states whose number of active sites remains constant. Eventually number-conserving cellular automata are models of open systems of interacting particles, that is, system of particles interacting with the external world, The particle aspect of eventually number-conserving cellular automata can be emphasized by the motion representation of the cellular automaton evolution rule. This new class of cellular automata contains, as strict subclasses, number-conserving cellular automata, monotone cellular automata, and cellular automata emulating number-conserving ones. Our main objective is to show that they are not what one might naively think they are." @default.
- W4300952404 created "2022-10-04" @default.
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- W4300952404 date "2004-10-21" @default.
- W4300952404 modified "2023-09-27" @default.
- W4300952404 title "Eventually Number-Conserving Cellular Automata" @default.
- W4300952404 doi "https://doi.org/10.48550/arxiv.cond-mat/0410563" @default.
- W4300952404 hasPublicationYear "2004" @default.
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