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arXiv · 1809.09503

Stable Multi-Level Monotonic Eroders

Péter Gács·Ilkka Törmä
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Abstract

Eroders are monotonic cellular automata with a linearly ordered state set that eventually wipe out any finite island of nonzero states. One-dimensional eroders were studied by Gal'perin in the 1970s, who presented a simple combinatorial characterization of the class. The multi-dimensional case has been studied by Toom and others, but no such characterization has been found. We prove a similar characterization for those one-dimensional monotonic cellular automata that are eroders even in the presence of random noise.

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Péter Gács, Ilkka Törmä. 2018-09-25. Stable Multi-Level Monotonic Eroders. https://arxiv.org/abs/1809.09503

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