On the law of logarithm of the recurrence time

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dc.contributor.authorKim, Chang Wanko
dc.contributor.authorKim D.H.ko
dc.date.accessioned2013-03-03T13:39:39Z-
dc.date.available2013-03-03T13:39:39Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2004-
dc.identifier.citationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.10, no.3, pp.581 - 587-
dc.identifier.issn1078-0947-
dc.identifier.urihttp://hdl.handle.net/10203/78909-
dc.description.abstractLet T be a transformation from I = [0, 1) onto itself and let Q(n) (x) be the subinterval [i/2(n), (i+1)/2(n)), 0 less than or equal to i < 2(n) containing x. Define K-n(x) = min{j ≥ 1 : T-j(x) ∈ Q(n) (x)} and K-n(x,y) = min{j ≥ 1 : Tj-1(y) ∈ Q(n)(x)}. For various transformations defined on I, we show that [GRAPHICS]-
dc.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-
dc.subjectPOINCARE RECURRENCE-
dc.subjectDATA-COMPRESSION-
dc.subjectWAITING TIME-
dc.subjectDIMENSIONS-
dc.subjectENTROPY-
dc.subjectNUMBER-
dc.titleOn the law of logarithm of the recurrence time-
dc.typeArticle-
dc.identifier.wosid000187071800001-
dc.identifier.scopusid2-s2.0-1042267862-
dc.type.rimsART-
dc.citation.volume10-
dc.citation.issue3-
dc.citation.beginningpage581-
dc.citation.endingpage587-
dc.citation.publicationnameDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-
dc.contributor.nonIdAuthorKim D.H.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorrecurrence time-
dc.subject.keywordAuthorthe first return time-
dc.subject.keywordAuthorwaiting time-
dc.subject.keywordPlusPOINCARE RECURRENCE-
dc.subject.keywordPlusDATA-COMPRESSION-
dc.subject.keywordPlusWAITING TIME-
dc.subject.keywordPlusDIMENSIONS-
dc.subject.keywordPlusENTROPY-
dc.subject.keywordPlusNUMBER-
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