%0 Conference Proceedings
%T Evaluating the Quality of Local Structure Approximation Using Elementary Rule 14
%+ Brock University [Canada]
%A Fukś, Henryk
%A Kwaku Combert, Francis
%< avec comité de lecture
%( Lecture Notes in Computer Science
%B 24th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA)
%C Ghent, Belgium
%Y Jan M. Baetens
%Y Martin Kutrib
%I Springer International Publishing
%3 Cellular Automata and Discrete Complex Systems
%V LNCS-10875
%P 43-56
%8 2018-06-20
%D 2018
%R 10.1007/978-3-319-92675-9_4
%K Rule 14
%K Local structure approximation
%K Invariant manifolds
%Z Computer Science [cs]Conference papers
%X Cellular automata (CA) can be viewed as maps in the space of probability measures. Such maps are normally infinitely-dimensional, and in order to facilitate investigations of their properties, especially in the context of applications, finite-dimensional approximations have been proposed. The most commonly used one is known as the local structure theory, developed by H. Gutowitz et al. in 1987. In spite of the popularity of this approximation in CA research, examples of rigorous evaluations of its accuracy are lacking. In an attempt to fill this gap, we construct a local structure approximation for rule 14, and study its dynamics in a rigorous fashion, without relying on numerical experiments. We then compare the outcome with known exact results.
%G English
%Z TC 1
%Z WG 1.5
%2 https://inria.hal.science/hal-01824874/document
%2 https://inria.hal.science/hal-01824874/file/469010_1_En_4_Chapter.pdf
%L hal-01824874
%U https://inria.hal.science/hal-01824874
%~ IFIP-LNCS
%~ IFIP
%~ IFIP-TC
%~ IFIP-TC1
%~ IFIP-WG1-5
%~ IFIP-AUTOMATA
%~ IFIP-LNCS-10875