Document Type
Article
Publication Date
10-2010
Publication Title
International Conference on Cellular Automata
Publisher
Springer Link
Abstract
The dynamics group of an asynchronous cellular automaton (ACA) relates properties of its long term dynamics to the structure of Coxeter groups. The key mathematical feature connecting these diverse fields is involutions. Group-theoretic results in the latter domain may lead to insight about the dynamics in the former, and vice-versa. In this article, we highlight some central themes and common structures, and discuss novel approaches to some open and open-ended problems. We introduce the state automaton of an ACA, and show how the root automaton of a Coxeter group is essentially part of the state automaton of a related ACA.
Recommended Citation
Please use the publisher's recommended citation. https://link.springer.com/chapter/10.1007/978-3-642-15979-4_43
Comments
This manuscript has been published in International Conference on Cellular Automata. Please find the published version here (note that a subscription is necessary to access this version):
https://link.springer.com/chapter/10.1007/978-3-642-15979-4_43