Orthogonality and the hausdorff dimension of the maximal measure

In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the co...

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Detalles Bibliográficos
Autor: Lopes, Artur Oscar
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1986
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/27485
Acceso en línea:http://hdl.handle.net/10183/27485
Access Level:acceso abierto
Palabra clave:Ortogonalidade : Medida maxima : Dimensao de hausdorff
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spelling 2011-01-26T05:59:12Z19860002-9939http://hdl.handle.net/10183/27485000054399In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one.application/pdfengProceedings of the American Mathematical Society. Providence, RI. Vol. 98, no. 1 (sept. 1986), p. 51-55.Ortogonalidade : Medida maxima : Dimensao de hausdorffOrthogonality and the hausdorff dimension of the maximal measureEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSLopes, Artur OscarORIGINAL000054399.pdf000054399.pdfTexto completo (inglês)application/pdf120161http://www.lume.ufrgs.br/bitstream/10183/27485/1/000054399.pdf42c14216b2a72e5b6198a71d7f8e55c4MD51TEXT000054399.pdf.txt000054399.pdf.txtExtracted Texttext/plain8813http://www.lume.ufrgs.br/bitstream/10183/27485/2/000054399.pdf.txt7f5f44b4736cd60920cd3c7fe5c94c23MD52THUMBNAIL000054399.pdf.jpg000054399.pdf.jpgGenerated Thumbnailimage/jpeg1765http://www.lume.ufrgs.br/bitstream/10183/27485/3/000054399.pdf.jpg9ea04a45105f7fc8695c59cca9116f18MD5310183/274852021-06-26 04:40:23.133924oai:www.lume.ufrgs.br:10183/27485Repositório InstitucionalPUBhttps://lume.ufrgs.br/oai/requestlume@ufrgs.bropendoar:2021-06-26T07:40:23Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Orthogonality and the hausdorff dimension of the maximal measure
title Orthogonality and the hausdorff dimension of the maximal measure
spellingShingle Orthogonality and the hausdorff dimension of the maximal measure
Lopes, Artur Oscar
Ortogonalidade : Medida maxima : Dimensao de hausdorff
title_short Orthogonality and the hausdorff dimension of the maximal measure
title_full Orthogonality and the hausdorff dimension of the maximal measure
title_fullStr Orthogonality and the hausdorff dimension of the maximal measure
title_full_unstemmed Orthogonality and the hausdorff dimension of the maximal measure
title_sort Orthogonality and the hausdorff dimension of the maximal measure
dc.creator.none.fl_str_mv Lopes, Artur Oscar
author Lopes, Artur Oscar
author_facet Lopes, Artur Oscar
author_role author
dc.subject.por.fl_str_mv Ortogonalidade : Medida maxima : Dimensao de hausdorff
topic Ortogonalidade : Medida maxima : Dimensao de hausdorff
description In this paper the orthogonality properties of iterated polynomials are shown to remain valid in some cases for rational maps. Using a functional equation fulfilled by the generating function, the author shows that the Hausdorff dimension of the maximal measure is a real analytical function of the coefficients of an Axiom A rational map satisfying the property that all poles of ƒ and zeros of ƒ’(z) have multiplicity one.
publishDate 1986
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dc.relation.ispartof.pt_BR.fl_str_mv Proceedings of the American Mathematical Society. Providence, RI. Vol. 98, no. 1 (sept. 1986), p. 51-55.
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