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Article: Self-similar measures associated to IFS with non-uniform contraction ratios

TitleSelf-similar measures associated to IFS with non-uniform contraction ratios
Authors
Ngai, Sze ManWang, Yang
KeywordsAbsolute continuity
Iterated function system
Self-similar measure
Transversality condition
Issue Date2005
Citation
Asian Journal of Mathematics, 2005, v. 9, n. 2, p. 227-244 How to Cite?
DOI: http://dx.doi.org/10.4310/AJM.2005.v9.n2.a7
AbstractIn this paper we study the absolute continuity of self-similar measures defined by iterated function systems (IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, Peres, et al.
Persistent Identifierhttp://hdl.handle.net/10722/363090
ISSN
1093-6106
2023 Impact Factor: 0.5
2023 SCImago Journal Rankings: 0.589

 

DC FieldValueLanguage
dc.contributor.authorNgai, Sze Man-
dc.contributor.authorWang, Yang-
dc.date.accessioned2025-10-10T07:44:31Z-
dc.date.available2025-10-10T07:44:31Z-
dc.date.issued2005-
dc.identifier.citationAsian Journal of Mathematics, 2005, v. 9, n. 2, p. 227-244-
dc.identifier.issn1093-6106-
dc.identifier.urihttp://hdl.handle.net/10722/363090-
dc.description.abstractIn this paper we study the absolute continuity of self-similar measures defined by iterated function systems (IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, Peres, et al.-
dc.languageeng-
dc.relation.ispartofAsian Journal of Mathematics-
dc.subjectAbsolute continuity-
dc.subjectIterated function system-
dc.subjectSelf-similar measure-
dc.subjectTransversality condition-
dc.titleSelf-similar measures associated to IFS with non-uniform contraction ratios-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.4310/AJM.2005.v9.n2.a7-
dc.identifier.scopuseid_2-s2.0-33846099904-
dc.identifier.volume9-
dc.identifier.issue2-
dc.identifier.spage227-
dc.identifier.epage244-
dc.identifier.eissn1945-0036-

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