Applications of ergodic theory and sofic systems to cellular automata
β Scribed by D.A. Lind
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 583 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
## Abstract In this paper we give a new proof of Richardson's theorem [31]: a global function __G__~πΈ~ of a cellular automaton πΈ is injective if and only if the inverse of __G__~πΈ~ is a global function of a cellular automaton. Moreover, we show a way how to construct the inverse cellular automaton
## Abstract Recent publications by Zielinski and Hanley and by Alsoy and Duda have proposed relationships between selfβ and mutualβdiffusion coefficients in multicomponent systems that can be derived from Bearman's frictionβbased theory. Subsequently, Zielinski and Alsoy published an article callin
A system of diflerential equations A(d/dt) x = Bx +f, along with the initial condition x(0) = k, is considered where A and B are m x n m&rices. Generalized inverses of the matrix A are used to derive algebraic conditions for the existence and uniqueness of a solution. An example is presented to illu