منابع مشابه
Large semigroups of cellular automata
In this article we consider semigroups of transformations of cellular automata which act on a fixed shift space. In particular, we are interested in two properties of these semigroups which relate to “largeness”. The first property is ID and the other property is maximal commutativity (MC). A semigroup has the ID property if the only infinite invariant closed set (with respect to the semigroup ...
متن کاملLarge Semigroup of Cellular Automata
Abstract. In this article we consider semigroups of transformations of cellular automata which act on a fixed shift space. In particular, we are interested in two properties of these semigroups which relate to “largeness”. The first property is ID and the other property is maximal commutativity (MC). A semigroup has the ID property if the only infinite invariant closed set (with respect to the ...
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The paper is devoted to two types of algebraic models of automata. The usual (first type) model leads to the developed decomposition theory (Krohn-Rhodes theory). We introduce another type of automata model and study how these automata are related to cascade connections of automata of the first type. The introduced automata play a significant role in group theory and, hopefully, in the theory o...
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We consider a generalized model of a probabilistic cellular automata described by a Markov chain on an infinite dimensional space and derive certain large deviations bounds for corresponding occupational measures.
متن کاملon residually finite semigroups of cellullar automata
we prove that if $m$ is a monoid and $a$ a finite set with more than one element, then the residual finiteness of $m$ is equivalent to that of the monoid consisting of all cellular automata over $m$ with alphabet $a$.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2011
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385711000551