{"created":"2021-03-01T06:39:25.701660+00:00","id":31044,"links":{},"metadata":{"_buckets":{"deposit":"17083165-18b7-490a-bc4f-a8c4798d919f"},"_deposit":{"id":"31044","owners":[],"pid":{"revision_id":0,"type":"depid","value":"31044"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00031044","sets":["697:698:699"]},"author_link":["102668","102669"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-11-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageStart":"124246","bibliographicVolumeNumber":"491","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Analysis and Applications"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We extend the multifractal formalism for the local dimension spectrum of a Gibbs measure μ supported on the attractor Λ of a conformal iterated functions system on the real line. Namely, for α∈ℝ, we establish the multifractal formalism for the Hausdorff dimension of the set of x∈Λ for which the μ-measure of a ball of radius rn centred at x obeys a power law rn^α, for a sequence rn→0. This allows us to investigate the Hölder regularity of various fractal functions, such as distribution functions and conjugacy maps associated with conformal iterated function systems.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"ファイル公開：2022-11-15","subitem_description_language":"ja","subitem_description_type":"Other"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.jmaa.2020.124246","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_61":{"attribute_name":"ISSN（print）","attribute_value_mlt":[{"subitem_source_identifier":"0022-247X","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Jaerisch, Johannes","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"102668","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Sumi, Hiroki","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"102669","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-11-15"}],"displaytype":"detail","filename":"191015mf-liminf-rev2.pdf","filesize":[{"value":"213.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"191015mf-liminf-rev2","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/31044/files/191015mf-liminf-rev2.pdf"},"version_id":"789cc41c-f01d-4766-a433-7d5b5ab9b79a"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Multifractal formalism","subitem_subject_scheme":"Other"},{"subitem_subject":"Conformal iterated function systems","subitem_subject_scheme":"Other"},{"subitem_subject":"Fractal functions","subitem_subject_scheme":"Other"},{"subitem_subject":"Local dimension spectrum","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-12-21"},"publish_date":"2020-12-21","publish_status":"0","recid":"31044","relation_version_is_last":true,"title":["Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:43:11.967977+00:00"}