Boolean linear differential operators on elementary cellular automata

Ángel Martín del Rey ()
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Ángel Martín del Rey: Department of Applied Mathematics, Institute on Fundamental Physics and Mathematics, University of Salamanca, Spain

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 06, 1-16

Abstract: In this paper, the notion of boolean linear differential operator (BLDO) on elementary cellular automata (ECA) is introduced and some of their more important properties are studied. Special attention is paid to those differential operators whose coefficients are the ECA with rule numbers 90 and 150.

Keywords: Elementary cellular automata; boolean linear differential operator; boolean function; boolean derivative; 02.10.De; 05.65.+b; 89.75.-k (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500090

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