License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2015.262
URN: urn:nbn:de:0030-drops-49197
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/4919/
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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
Collection: 32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)
Issue Date: 2015
Date of publication: 26.02.2015

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