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On the sensitivity of additive cellular automata in Besicovitch topologies

✍ Scribed by Enrico Formenti

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 332 KB
Volume: 301
Category: Article
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(02)00591-1

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that additive cellular automata in the Besicovitch topology that have a Willson limit set of Hausdor dimension strictly bigger than 1 are sensitive to initial conditions.

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