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DOI: 10.4230/LIPIcs.STACS.2015.262
URN: urn:nbn:de:0030-drops-49197
URL: https://drops.dagstuhl.de/opus/volltexte/2015/4919/
Delacourt, Martin ; Hellouin de Ménibus, Benjamin
Construction of mu-Limit Sets of Two-dimensional Cellular Automata
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Abstract
We prove a characterisation of \mu-limit sets of two-dimensional cellular automata, extending existing results in the one-dimensional case. This sets describe the typical asymptotic behaviour of the cellular automaton, getting rid of exceptional cases, when starting from the uniform measure.
BibTeX - Entry
@InProceedings{delacourt_et_al:LIPIcs:2015:4919,
author = {Martin Delacourt and Benjamin Hellouin de M{\'e}nibus},
title = {{Construction of mu-Limit Sets of Two-dimensional Cellular Automata}},
booktitle = {32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)},
pages = {262--274},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-78-1},
ISSN = {1868-8969},
year = {2015},
volume = {30},
editor = {Ernst W. Mayr and Nicolas Ollinger},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2015/4919},
URN = {urn:nbn:de:0030-drops-49197},
doi = {10.4230/LIPIcs.STACS.2015.262},
annote = {Keywords: cellular automata, dynamical systems, mu-limit sets, subshifts, measures}
}
| Keywords: | cellular automata, dynamical systems, mu-limit sets, subshifts, measures | |
| Seminar: | 32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015) | |
| Issue date: | 2015 | |
| Date of publication: | 26.02.2015 |
