Construction of $μ$-Limit Sets

Details Construction of $μ$-Limit Sets Construction of $μ$-Limit Sets

2010-12-03

arxiv.org/abs/1012.1333v1

Computer Science

Discrete Mathematics

Journ\'ees Automates Cellulaires 2010, Turku : Finland (2010)

Scientific paper

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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