{"created":"2021-03-01T07:20:04.587903+00:00","id":40670,"links":{},"metadata":{"_buckets":{"deposit":"8482e95a-5663-4bc3-bf39-d061367b1eb1"},"_deposit":{"id":"40670","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40670"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00040670","sets":["117:2135","3:62:5592:424"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"415","bibliographicPageStart":"397","bibliographicVolumeNumber":"69","bibliographic_titles":[{"bibliographic_title":"Journal of the ｍathematical society of japan"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"秋山, 茂樹"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We study a family of piecewise expanding maps on the plane, generated by composition of a rotation and an expansive similitude of expansion constant β. We give two constants B1 and B2 depending only on the fundamental domain that if β > B1 then the expanding map has a unique absolutely continuous invariant probability measure, and if β > B2 then it is equivalent to 2-dimensional Lebesgue measure. Restricting to a rotation generated by q-th root of unity ζ with all parameters in Q(ζ,β), the map gives rise to a sofic system when os(2π/q)∈Q(β) and β is a Pisot number. It is also shown that the condition cos(2π/q)∈Q(β) is necessary by giving a family of non-sofic systems for q=5. ","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"The Mathematical Society of Japan "}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.2969/jmsj/06910397","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2017 The Mathematical Society of Japan "}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0025-5645","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0070177X ","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"AKIYAMA, Shigeki"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"CAALIM, Jonathan"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-02-01"}],"displaytype":"detail","filename":"JMSJ_69-1.pdf","filesize":[{"value":"4.2 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"JMSJ_69-1","url":"https://tsukuba.repo.nii.ac.jp/record/40670/files/JMSJ_69-1.pdf"},"version_id":"59f139f3-b1de-41ce-a263-1ab9eca77b78"}]},"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":"Rotational beta expansion: ergodicity and soficness","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Rotational beta expansion: ergodicity and soficness"}]},"item_type_id":"5","owner":"1","path":["2135","424"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-03-27"},"publish_date":"2017-03-27","publish_status":"0","recid":"40670","relation_version_is_last":true,"title":["Rotational beta expansion: ergodicity and soficness"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:11:10.501063+00:00"}