The kink of cellular automaton rule 18 performs a random walk |
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| Authors: | Kari Eloranta Esa Nummelin |
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| Institution: | (1) Helsinki University of Technology, Helsinki, Finland;(2) University of Helsinki, Helsinki, Finland |
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| Abstract: | We give an exact characterization of the movement of a single kink in the elementary cellular automaton Rule 18. It is a random walk with independent increments as well as independent delay times. Its statistical parameters are computed to confirm the earlier simulation results by Grassberger. |
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| Keywords: | Cellular automaton kink random walk |
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