{"created":"2023-05-15T13:44:38.995295+00:00","id":1203,"links":{},"metadata":{"_buckets":{"deposit":"c13bdf2a-9709-4610-bff4-853f5194a252"},"_deposit":{"created_by":1,"id":"1203","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"1203"},"status":"published"},"_oai":{"id":"oai:chuo-u.repo.nii.ac.jp:00001203","sets":["108:109"]},"author_link":["23563","23562","23564"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-03-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"20","bibliographicPageStart":"1","bibliographicVolumeNumber":"16","bibliographic_titles":[{"bibliographic_title":"中央大学理工学研究所論文集"}]}]},"item_10002_description_19":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Stochastic Loewner evolution (SLE) is a differential equation driven by a onedimensional Brownian motion (BM), whose solution gives a stochastic process of conformal transformation on the upper half complex-plane H. As an evolutionary boundary of image of the transformation, a random curve (the SLE curve) is generated, which is starting from the origin and running in H toward the infinity as time is going. The SLE curves provides a variety of statistical ensembles of important fractal curves, if we change the diffusion constant of the driving BM. In the present paper, we consider the Schwarz-Christoffel transformation (SCT), which is a conformal map from H to the region H with a slit starting from the origin. We prepare a binomial system of SCTs, one of which generates a slit in H with an angle απ from the positive direction of the real axis, and the other of which with an angle (1 −α)π. One parameter κ > 0 is introduced to control the value of α and the length of slit. Driven by a one-dimensional random walk, which is a binomial stochastic process, a random iteration of SCTs is performed. By interpolating tips of slits by straight lines, we have a random path in H, which we call an Iterative SCT (ISCT) path. It is well-known that, as the number of steps N of random walk goes infinity, each path of random walk divided by √N converges to a Brownian curve. Then we expect that the ISCT paths divided by √N (the rescaled ISCT paths) converge to the SLE curves in N → ∞. Our numerical study implies that, for sufficiently large N , the rescaled ISCT paths will have the same statistical properties as the SLE curves have, supporting our expectation.","subitem_description_type":"Abstract"}]},"item_10002_description_6":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"【査読有】","subitem_description_type":"Other"}]},"item_10002_full_name_24":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"23564","nameIdentifierScheme":"WEKO"}],"names":[{"name":"佐藤, 史仁"}]},{"nameIdentifiers":[{"nameIdentifier":"23563","nameIdentifierScheme":"WEKO"}],"names":[{"name":"香取, 眞理"}]}]},"item_10002_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24789/00001193","subitem_identifier_reg_type":"JaLC"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"中央大学理工学研究所"}]},"item_10002_rights_15":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1343-0068","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"SATO, Fumihito","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"KATORI, Makoto","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-04-22"}],"displaytype":"detail","filename":"1343_0068~16~~1.pdf","filesize":[{"value":"1.0 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"本文を見る(PDFファイル)","url":"https://chuo-u.repo.nii.ac.jp/record/1203/files/1343_0068~16~~1.pdf"},"version_id":"ced8491f-05e1-4d18-a119-26f46c105342"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Iterative Schwarz-Christoffel Transformations Driven by Random Walks and Fractal Curves","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Iterative Schwarz-Christoffel Transformations Driven by Random Walks and Fractal Curves","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"1","path":["109"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-01"},"publish_date":"2012-10-01","publish_status":"0","recid":"1203","relation_version_is_last":true,"title":["Iterative Schwarz-Christoffel Transformations Driven by Random Walks and Fractal Curves"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-16T13:29:43.366834+00:00"}