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arXiv · 1012.1333

Construction of $\mu$-Limit Sets

Laurent Boyer·Martin Delacourt·Mathieu Sablik
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Abstract

The $\mu$-limit set of a cellular automaton is a subshift whose forbidden patterns are exactly those, whose probabilities tend to zero as time tends to in- finity. In this article, for a given subshift in a large class of subshifts, we propose the construction of a cellular automaton which realizes this subshift as $\mu$-limit set where $\mu$ is the uniform Bernoulli measure.

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Laurent Boyer, Martin Delacourt, Mathieu Sablik. 2010-12-03. Construction of $\mu$-Limit Sets. https://arxiv.org/abs/1012.1333

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