DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choe, Geon Ho | ko |
dc.contributor.author | Hamachi, T | ko |
dc.contributor.author | Nakada, H | ko |
dc.date.accessioned | 2013-03-04T04:18:56Z | - |
dc.date.available | 2013-03-04T04:18:56Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | STUDIA MATHEMATICA, v.165, no.1, pp.53 - 60 | - |
dc.identifier.issn | 0039-3223 | - |
dc.identifier.uri | http://hdl.handle.net/10203/81887 | - |
dc.description.abstract | Let E be an interval in the unit interval [0, 1). For each x is an element of [0, 1) define d(n)(x) is an element of {0, 1} by d(n)(x) := Sigma(i=1)(n) 1(E)({2(i-1)x}) (mod 2), where {t} is the fractional part of t. Then x is called a normal number mod 2 with respect to E if N-1 Sigma(n=1)(N) d(n)(x) converges to 1/2. It is shown that for any interval E not equal (1/6,5/6) a.e. x is a normal number mod 2 with respect to E. For E = (1/6,5/6) it is proved that N-1 Sigma(n=1)(N) d(n) (x) converges a.e. and the limit equals 1/3 or 2/3 depending on x. | - |
dc.language | English | - |
dc.publisher | POLISH ACAD SCIENCES INST MATHEMATICS | - |
dc.subject | ABSOLUTELY CONTINUOUS COCYCLES | - |
dc.subject | IRRATIONAL ROTATIONS | - |
dc.subject | STRICT ERGODICITY | - |
dc.subject | SPECTRAL TYPES | - |
dc.subject | EXTENSIONS | - |
dc.subject | INTERVAL | - |
dc.title | Mod 2 normal numbers and skew products | - |
dc.type | Article | - |
dc.identifier.wosid | 000226240000004 | - |
dc.identifier.scopusid | 2-s2.0-5644229918 | - |
dc.type.rims | ART | - |
dc.citation.volume | 165 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 53 | - |
dc.citation.endingpage | 60 | - |
dc.citation.publicationname | STUDIA MATHEMATICA | - |
dc.identifier.doi | 10.4064/sm165-1-4 | - |
dc.contributor.localauthor | Choe, Geon Ho | - |
dc.contributor.nonIdAuthor | Hamachi, T | - |
dc.contributor.nonIdAuthor | Nakada, H | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | ABSOLUTELY CONTINUOUS COCYCLES | - |
dc.subject.keywordPlus | IRRATIONAL ROTATIONS | - |
dc.subject.keywordPlus | STRICT ERGODICITY | - |
dc.subject.keywordPlus | SPECTRAL TYPES | - |
dc.subject.keywordPlus | EXTENSIONS | - |
dc.subject.keywordPlus | INTERVAL | - |
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