DC Field | Value | Language |
---|---|---|
dc.contributor.author | Elliot Paquette | - |
dc.contributor.author | SON, YOUNGHWAN | - |
dc.date.accessioned | 2019-02-25T04:13:11Z | - |
dc.date.available | 2019-02-25T04:13:11Z | - |
dc.date.created | 2019-02-20 | - |
dc.date.issued | 2019-07 | - |
dc.identifier.issn | 0143-3857 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/94693 | - |
dc.description.abstract | We consider the deviation of Birkhoff sums along fixed orbits of substitution dynamical systems. We show distributional convergence for the Birkhoff sums of eigen functions of the substitution matrix. For non-coboundary eigen functions with eigen value of modulus 1, we obtain a central limit theorem. For other eigen functions, we show convergence to distributions supported on Cantor sets. We also give a new criterion for such an eigen function to be a coboundary, as well as a new characterization of substitution dynamical systems with bounded discrepancy. | - |
dc.language | English | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.relation.isPartOf | ERGODIC THEORY AND DYNAMICAL SYSTEMS | - |
dc.title | Birkhoff sum fluctuations in substitution dynamical systems | - |
dc.type | Article | - |
dc.identifier.doi | 10.1017/etds.2017.83 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | ERGODIC THEORY AND DYNAMICAL SYSTEMS, v.39, pp.1971 - 2005 | - |
dc.identifier.wosid | 000470721500012 | - |
dc.citation.endPage | 2005 | - |
dc.citation.startPage | 1971 | - |
dc.citation.title | ERGODIC THEORY AND DYNAMICAL SYSTEMS | - |
dc.citation.volume | 39 | - |
dc.contributor.affiliatedAuthor | SON, YOUNGHWAN | - |
dc.identifier.scopusid | 2-s2.0-85066752393 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | ADDITIVE-FUNCTIONALS | - |
dc.subject.keywordPlus | SQUARE-ROOT | - |
dc.subject.keywordPlus | GIANT LEAP | - |
dc.subject.keywordPlus | RECOGNIZABILITY | - |
dc.subject.keywordPlus | RANDOMNESS | - |
dc.subject.keywordPlus | MATRICES | - |
dc.subject.keywordPlus | SPECTRA | - |
dc.subject.keywordPlus | POWER | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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