Journal article
The impact of alphabet size on pattern complexity of maxmin-ω cellular automata
- Abstract:
- We present an analysis of an additive cellular automaton (CA) under asynchronous dynamics. The asynchronous scheme is maxmin-ω, a deterministic system, introduced in our previous work with a binary alphabet. Extending this work, we study the impact of a larger alphabet, which also allows a meaningful inference of the behaviour of the resultant CA from the asymptotic behaviour of the maxmin-ω update system. Far from being a straightforward positive correlation between complexity and alphabet size, we show that there is a region of ω and alphabet size where complexity of CA is maximal. Thus, despite employing a fixed CA rule, the complexity of this CA can be controlled by ω and alphabet size. The main message is that the effect of maxmin-ω updating on the state of a network can be well understood, especially if the state alphabet is counter-intuitively large.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.4MB, Terms of use)
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- Publisher copy:
- 10.1007/s11047-020-09787-2
Authors
- Publisher:
- Springer
- Journal:
- Natural Computing More from this journal
- Volume:
- 19
- Pages:
- 273-285
- Publication date:
- 2020-04-14
- Acceptance date:
- 2020-04-14
- DOI:
- EISSN:
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1572-9796
- ISSN:
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1567-7818
- Language:
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English
- Keywords:
- Pubs id:
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1100342
- Local pid:
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pubs:1100342
- Deposit date:
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2020-04-15
- ARK identifier:
Terms of use
- Copyright holder:
- Ebrahim L Patel
- Copyright date:
- 2020
- Rights statement:
- © The Author(s) 2020. Open Access: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
- Licence:
- CC Attribution (CC BY)
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