On the Hausdorff measure of regular ω-languages in Cantor space

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dc.contributor.author Staiger, L en
dc.date.accessioned 2015-01-05T00:14:04Z en
dc.date.available 2015-01-05T00:14:04Z en
dc.date.issued 2014 en
dc.identifier.citation CDMTCS Research Reports CDMTCS-459 (2014) en
dc.identifier.issn 1178-3540 en
dc.identifier.uri http://hdl.handle.net/2292/23892 en
dc.description.abstract This paper deals with the calculation of the Hausdorff measure of regular ω-languages, that is, subsets of the Cantor space definable by finite automata. Using methods for decomposing regular ω-languages into disjoint unions of parts of simple structure we derive two sufficient conditions under which !-languages with a closure definable by a finite automaton have the same Hausdorff measure as this closure. The first of these condition is related to the homogeneity of the local behaviour of the Hausdorff dimension of the underlying set, and the other with a certain topological density of the set in its closure. en
dc.publisher Department of Computer Science, The University of Auckland, New Zealand en
dc.relation.ispartofseries CDMTCS Research Report Series en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.source.uri https://www.cs.auckland.ac.nz/research/groups/CDMTCS/researchreports/index.php en
dc.title On the Hausdorff measure of regular ω-languages in Cantor space en
dc.type Technical Report en
dc.subject.marsden Fields of Research en
dc.rights.holder The author(s) en
dc.rights.accessrights http://purl.org/eprint/accessRights/OpenAccess en


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