2010arXiv (Cornell University)Open access

A weakly universal cellular automaton in the hyperbolic 3D space with three states

Maurice Margenstern

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Abstract

In this paper, we significantly improve a previous result by the same author showing the existence of a weakly universal cellular automaton with five states living in the hyperbolic 3D-space. Here, we get such a cellular automaton with three states only.

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What this paper is about

In this paper, we significantly improve a previous result by the same author showing the existence of a weakly universal cellular automaton with five states living in the hyperbolic 3D-space. Here, we get such a cellular automaton with three states only.

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Available abstract

In this paper, we significantly improve a previous result by the same author showing the existence of a weakly universal cellular automaton with five states living in the hyperbolic 3D-space. Here, we get such a cellular automaton with three states only.

Key concepts: Cellular automaton, Reversible cellular automaton, Block cellular automaton, Continuous automaton, Stochastic cellular automaton, Space (punctuation), Automaton, Probabilistic automaton

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